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Chapter 4: Q 77 (page 404)

The sum of two numbers is 37.

Their difference is 9. Find the

numbers.

Short Answer

Expert verified

The numbers are23&14.

Step by step solution

01

Step 1. Given 

Sum=37and the difference between the numbers is9

02

Step 2. Calculation

Let the numbers are x&y

Therefore, x+y=37

and the difference is x-y=9

Add the two equations,

x+y=37&x-y=9x+y+x-y=37+92x=46x=23

Now put value of xin any equation and find the value of y.

x+y=3723+y=37y=37-23y=14

Therefore the numbers are14&23

03

Step 3. Verification

Verify the equation,

x+y=3723+14=3737=37

LHS is equal to RHS

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