Question

Find the number whose sum and difference are 117 and 45, respectively

Answer 1

Answer:

81 and 36

Step-by-step explanation:

Let the two numbers be x and y

The sum of the two numbers is 117

$x + y = 117$

The difference of the two numbers is 45

$x - y = 45$

Adding both the equations we get,

$2x = 162 \\ x = 81$

Substituting x=81 in the first equation

$x + y = 117 \\ 81 + y = 117 \\ y = 117 - 81 \\ y = 36$

Therefore the numbers are 81 and 36

Hope this helps!!