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?
Responses
A Amy is 14 and Billy is 8.Amy is 14 and Billy is 8.
B Amy will be 22 and Billy will be 16.Amy will be 22 and Billy will be 16.
C Amy is 8 and Billy is 14.Amy is 8 and Billy is 14.
D Amy will be 16 and Billy will be 22.
A: Amy is 14 and Billy is 8.
We can use algebra to solve this problem. Let x be Amy's age, then y = x - 6 (since Billy is 6 years younger than Amy). We know that x + y = 22, so substituting y, we get x + x - 6 = 22, which simplifies to 2x = 28 and x = 14. Therefore, Amy is 14 and Billy is 8.
To find their ages in 8 years, we simply add 8 to each age: Amy will be 22 and Billy will be 16. So the answer is B.