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

x = - 20

y = - 62

Step-by-step 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