Question

The sum of two numbers is −102. One number is 62 less than the other. Find the numbers.

Answer 1

x = -20

y = -62

Explanation:

Suppose x and y two number and such that :

• their sum = -102
• and y is 62 less than x

Which means :

• x + y = -102

• x - y = 62

then

• x + y = -102

• x = y + 62

then

x + y = (y+62) + y = -102

then

2y + 62 = -102

then

2y = -164

then

y = -164/2 = -82

therefore

x = y + 62 = -82 + 62 = -20