Question

Aaron is 5 years younger than

Roy. Four years later, Roy will be
twice as old as Aaron. Find their
present ages

Answer 1

Roy is 6 years old and Aaron is 1 year old.

Explanation:

A is Aaron's age,

R is roy's age,

A = R - 5

R + 4 = 2(A+4)

We can distribute first,

R + 4 = 2A + 8

Subtract 4 from each side,

R = 2A + 4

Since A = R - 5, you can substitute in R - 5 for A in the equation,

R = 2(R-5) + 4

Distribute,

R = 2R - 10 + 4

Since - 10 + 4 = -6, we can do this,

R = 2R - 6

Subtract R from both sides,

0 = R - 6

Add 6 to both sides and you have part of your answer;

R = 6

Since A = R - 5,

A = 6 - 5

A = 1, so Aaron's age is 1.