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When Billy's asked how old he is, he replies, "In two years i will be twice as old as i was 5 years ago." How old is he?

2 Answers

7 votes
12 years old using the following work
When Billy's asked how old he is, he replies, "In two years i will be twice as-example-1
User Salar Rastari
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2 votes

12 years old.

• Let the present age of Billy be represented by x.

• In two years, Billy will be: = x + 2

• Since in 2 years, he will be twice as old as he was 5 years ago, this will be:

x + 2 = 2(x - 5)

The equation to solve the question is:

x + 2 = 2(x - 5)

x + 2 = 2x- 10

Collect like terms

2x - x = 2 + 10

x = 12

• Billy is 12 years old.