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Number Puzzle #171

April 3, 2017 by Sagar Rox 1 Comment

Find out the numbers in the boxes

IMG-20170301-WA0005

A + B = 8
+ +
C – D = 6
|| ||
13 8

Check your answer:-
Top Left Box

Tried enough already?
Top Right Box
Tried enough already?
Bottom Left Box
Tried enough already?
Bottom Right Box
Tried enough already?
Answer With Explanation
Answer:

3.5 + 4.5 = 8
+ +
9.5 – 3.5 = 6
|| ||
13 8

Explanation:
We can make four equations
A+B = 8
C-D = 6
A+C = 13
B+D = 8

now we have four variables with four equations so it should be easy to solve. let’s solve these four equations

if we add the four equations
A+B+C-D+A+C+B+D = 8 + 6 + 13 + 8
2(A+B) + 2C = 35
2C = 35 – 2*8 —- by replacing A+B
2C = 35 – 16 = 19
C = 9.5

from 2nd Equation C – D = 6
D = C – 6
D = 9.5 – 6
D = 3.5

from 3rd equation
A+C = 13
A = 13 – C
A = 13 – 9.5
A = 3.5

from 4th equation
B + D = 8
B = 8 – D
B = 8 – 3.5
B = 4.5

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