Question

Billy is 6 years younger than Amy. The sum of their ages is 22. How old will each of them be in 8 years?

The graph shows the two equations, where x = Amy and y = Billy. What is the answer to the problem?
A) Amy is 8 and Billy is 14.
B) Amy is 14 and Billy is 8.
C) Amy will be 16 and Billy will be 22.
D) Amy will be 22 and Billy will be 16.

Answer 1

First let's find their current ages:
Billy + 6years = Amy
Billy + Amy = 22

Combining these equations:
Billy + (Billy + 6years) = 22
2 Billy = 16
Billy = 8

Billy + 6 = Amy
8 + 6 = Amy
Amy = 14

In 8 years Billy will be 16 and Amy will be 22. The answer is d.