Question

The sum two numbers is 9 and their difference is 1. What are the n umbers?

Answer 1

Given:

x + y = 9 => x = 9 -  y ...(1)

x - y = 1                       ...(2)

Substituting (1) in (2):

9 -y - y = 1

9 - 2y = 1

-2y = 1 - 9

-2y = -8

2y = 8

y = 8/2

y = 4  ...(3)

Substituting (3) in (1)

x = 9 - 4

x = 5

Therefore, x = 5, y = 4

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