13 years ago, Peter's age is one-third of the age 7 years from now. How old is Peter now?
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Let p = P e t e r
Given the information in the question we can get an equation
3 p + 7 = p − 1 3
Re-arranging this you can get a value for p
p + 7 = 3 ( p − 1 3 ) ⇒ p + 7 = 3 p − 3 9 ⇒ p = 3 p − 4 6
The problem now is that p is on both sides, to fix this we need to re-arrange it some more
p = 3 p − 4 6 ⇒ p + 4 6 = 3 p ⇒ 4 6 = 2 p ⇒ p = 2 3
So Peter's current age is 2 3