How old is Bill?

Algebra Level 3

Bill is three times as old as he was when he was 60 years younger than he will be when he is twice as old as he is now.

How old is Bill?


The answer is 36.

Geoff Pilling by Geoff Pilling , 53, USA

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2 solutions

x x = Bill's age now

2 x 2x = when he is twice as old as he is now

2 x − 60 2x-60 = 60 years younger than he will be when he is twice as old as he is now

x = 3 ( 2 x − 60 ) x=3(2x-60)

x = 36 x=36

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Geoff Pilling
Jan 9, 2017

Let x x be his age now.

x = 3 ( 2 x − 60 ) x = 3(2x-60)

x = 6 x − 180 x = 6x - 180

5 x = 180 5x = 180

x = 36 x = \boxed{36}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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