Kwa wale wakali wa Algebra, Solve this

Shark · Jan 11, 2018

Math Quiz

Here is a brain teaser: Quantitative Reasoning.

A house wife forgot her bank 'ATM PIN' which is a four digit number, but luckily she remembered some hints on how to recall this 'PIN'
Here are some of the clues
1) The 1st digit is half of the 2nd
2) The sum of the 2nd and 3rd is 10
3) The 4th is equal to the 2nd plus 1
4) The sum of all the digits is 23

What is the ATM PIN ?

Ze observer · Jan 11, 2018

4829 is ATM PIN

maguluashimba · Jan 11, 2018

Another brain teaser: A water tank reservoir is connected to three water pipe supplies, pipes a, b and c. Pipe a alone can fill the tank in 30 minutes while pipe b can fill it in 45 minutes and pipe c alone can fill it in 90 minutes. How long will the reservoir tank fill up if all water pipes are opened to the tank at the same time.

Shark · Jan 11, 2018

maguluashimba said:
Another brain teaser: A water tank reservoir is connected to three water pipe supplies, pipes a, b and c. Pipe a alone can fill the tank in 30 minutes while pipe b can fill it in 45 minutes and pipe c alone can fill it in 90 minutes. How long will the reservoir tank fill up if all water pipes are opened to the tank at the same time.

Duh,
aisee

Joselela · Jan 11, 2018

Let the first, second, third and fourth digit be v, x, y and z respectively...

Let's create the algebra..

V=X/2
X +Y=10 ---->Y=10-X
Z=X+1

SUM of all
V+X+Y+Z=23

Then it will be
X/2+X+10-X+X+1=23
X/2 +X +11=23
X/2+X =23-11=12(times by two each side)
3X =24
X =8

Then
V=X /2----->8/2=4
V=4

Then
X+Y =10 ---->Y =10-X ------>10-8=2
Y=2

Then
Z=X +1 ------>8+1=9
Z=9

So V, X, Y AND Z is 4,8,2,9 respectively

Hence we said that the above letter each represent the digit of the pin then the pincode will be 4829.

Solved.

Pain killer · Jan 11, 2018

Shark said:
Math Quiz

Here is a brain teaser: Quantitative Reasoning.

A house wife forgot her bank 'ATM PIN' which is a four digit number, but luckily she remembered some hints on how to recall this 'PIN'
Here are some of the clues
1) The 1st digit is half of the 2nd
2) The sum of the 2nd and 3rd is 10
3) The 4th is equal to the 2nd plus 1
4) The sum of all the digits is 23

What is the ATM PIN ?

hii ni chuo co advance wala o level

HIMARS · Jan 11, 2018

Pain killer said:
hii ni chuo co advance wala o level

Ndugu hiyo O level kabisa

nard · Jan 11, 2018

maguluashimba said:
Another brain teaser: A water tank reservoir is connected to three water pipe supplies, pipes a, b and c. Pipe a alone can fill the tank in 30 minutes while pipe b can fill it in 45 minutes and pipe c alone can fill it in 90 minutes. How long will the reservoir tank fill up if all water pipes are opened to the tank at the same time.

GCF of 30, 45 and 90 = 15
The tank will be filled after 15 minutes

Joselela · Jan 11, 2018

maguluashimba said:
Another brain teaser: A water tank reservoir is connected to three water pipe supplies, pipes a, b and c. Pipe a alone can fill the tank in 30 minutes while pipe b can fill it in 45 minutes and pipe c alone can fill it in 90 minutes. How long will the reservoir tank fill up if all water pipes are opened to the tank at the same time.

Find KKS au GCF (Great common factor)

Justine Stanslaus · Jan 11, 2018

let nunbers be a b c d
2a =b .......(i)
b+c=10 .....(ii)
d=b+1 ....(iii) and
a+b+c=23......(iv);
solving above equations simultaneously,you will find that the pin number is
4829

Rohombaya · Jan 11, 2018

nard said:
GCF of 30, 45 and 90 = 15
The tank will be filled after 15 minutes

[emoji777] [emoji777] [emoji777] [emoji777]
Dah.....meaningless...... Vipi kama dakika zingekuwa 31,43 and 91? Unatakiwa ujue physical quantities.... volume...flow rate and time[emoji13] [emoji13] [emoji87] [emoji41]

nard · Jan 11, 2018

Rohombaya said:
[emoji777] [emoji777] [emoji777] [emoji777]
Dah.....meaningless...... Vipi kama dakika zingekuwa 31,43 and 91? Unatakiwa ujue physical quantities.... volume...flow rate and time[emoji13] [emoji13] [emoji87] [emoji41]

Hayo yote hayahitajiki katika hili swali, yangehitajika yangewekwa. Je unajua hili ni swali la o level siyo advance?.

maguluashimba · Jan 11, 2018

nard said:
GCF of 30, 45 and 90 = 15
The tank will be filled after 15 minutes

Mkuu umepata. Ila ungeonyesha njia kama ifuatavyo: let time taken to fill the tank be t. Therefore t/30+t/45+t/90 = 1
Solving for t we have 6t/90 = 1.

Therefore t = 90/6 = 15.

Time taken to fill the tanks=15

maguluashimba · Jan 11, 2018

Rohombaya said:
[emoji777] [emoji777] [emoji777] [emoji777]
Dah.....meaningless...... Vipi kama dakika zingekuwa 31,43 and 91? Unatakiwa ujue physical quantities.... volume...flow rate and time[emoji13] [emoji13] [emoji87] [emoji41]

Uko sahihi mkuu, tazama njia no. 13 hapo juu.

GUI1 · Jan 11, 2018

4829 mkuu

Kiparuanda · Jan 11, 2018

maguluashimba said:
Another brain teaser: A water tank reservoir is connected to three water pipe supplies, pipes a, b and c. Pipe a alone can fill the tank in 30 minutes while pipe b can fill it in 45 minutes and pipe c alone can fill it in 90 minutes. How long will the reservoir tank fill up if all water pipes are opened to the tank at the same time.

Hii kitu nakumbuka tulifundishwa darasa la 5,ila ndo hivyo sikuzingatia maana hadi leo sijaonaga tenki yenye bomba 3 za kuingiza maji, ni kuchoshana tu.

king suleman · Jan 11, 2018

Joselela said:
Let the first, second, third and fourth digit be v, x, y and z respectively...

Let's create the algebra..

V=X/2
X +Y=10 ---->Y=10-X
Z=X+1

SUM of all
V+X+Y+Z=23

Then it will be
X/2+X+10-X+X+1=23
X/2 +X +11=23
X/2+X =23-11=12(times by two each side)
3X =24
X =8

Then
V=X /2----->8/2=4
V=4

Then
X+Y =10 ---->Y =10-X ------>10-8=2
Y=2

Then
Z=X +1 ------>8+1=9
Z=9

So V, X, Y AND Z is 4,8,2,9 respectively

Hence we said that the above letter each represent the digit of the pin then the pincode will be 4829.

Solved.

U Have Been Awarded A Trophy , , Kula Tano Mkuu Umenikumbusha Mbali Sana

kallys · Jan 11, 2018

Shark said:
Math Quiz

Here is a brain teaser: Quantitative Reasoning.

A house wife forgot her bank 'ATM PIN' which is a four digit number, but luckily she remembered some hints on how to recall this 'PIN'
Here are some of the clues
1) The 1st digit is half of the 2nd
2) The sum of the 2nd and 3rd is 10
3) The 4th is equal to the 2nd plus 1
4) The sum of all the digits is 23

What is the ATM PIN ?

elvee · Jan 11, 2018

Joselela said:
Let the first, second, third and fourth digit be v, x, y and z respectively...

Let's create the algebra..

V=X/2
X +Y=10 ---->Y=10-X
Z=X+1

SUM of all
V+X+Y+Z=23

Then it will be
X/2+X+10-X+X+1=23
X/2 +X +11=23
X/2+X =23-11=12(times by two each side)
3X =24
X =8

Then
V=X /2----->8/2=4
V=4

Then
X+Y =10 ---->Y =10-X ------>10-8=2
Y=2

Then
Z=X +1 ------>8+1=9
Z=9

So V, X, Y AND Z is 4,8,2,9 respectively

Hence we said that the above letter each represent the digit of the pin then the pincode will be 4829.

Solved.

Sawa kabisa! Hongera

Shark · Jan 11, 2018

Baba Heri said:
Hii kitu nakumbuka tulifundishwa darasa la 5,ila ndo hivyo sikuzingatia maana hadi leo sijaonaga tenki yenye bomba 3 za kuingiza maji, ni kuchoshana tu.

Ha ha ha,
Hizo ni dalili za kushindwa swali aisee,
Fanya assumption tu kua lipo

Kwa wale wakali wa Algebra, Solve this

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