Question

The sum of two numbers is 198. The difference between them is 24. Find the two numbers.

Let x= the first number and y=_____

Answer 1

Let x be the smaller number
Let y be the larger number

y + x = 198
y - x = 24

Subtract to cancel y

2x = 174
x = 87


Substitute x to find y

y - 87 = 24
y = 24 + 87
y = 111