Kwa wale wakali wa Algebra, Solve this

Shark

JF-Expert Member
Jan 25, 2010
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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 ?
 
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.
 
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
 
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.
 
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
 
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
 
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)
 
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
 
GCF of 30, 45 and 90 = 15
The tank will be filled after 15 minutes

Dah.....meaningless...... Vipi kama dakika zingekuwa 31,43 and 91? Unatakiwa ujue physical quantities.... volume...flow rate and time
 

Dah.....meaningless...... Vipi kama dakika zingekuwa 31,43 and 91? Unatakiwa ujue physical quantities.... volume...flow rate and time
Hayo yote hayahitajiki katika hili swali, yangehitajika yangewekwa. Je unajua hili ni swali la o level siyo advance?.
 
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.
 
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
 
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 ?
 
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
 
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
 
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