Question 1196352: In four years, John's age will be the same as Peter's age now. In two years, Peter's age will be twice as John's age. How old is Peter now?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
In four years, John's age will be the same as Peter's age now.
In two years, Peter's age will be twice as John's age. How old is Peter now?
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Let x be the Peter's age, in years (the quantity under the question).
First sentence says that John is 4 years younger than Peter;
so, John's age today is (x-4) years.
In two years, their ages will be (x+2) for Peter and ((x-4)+2) = (x-2) for John.
Next, from the problem we have this equation
x+2 = 2*(x-2) (In two years, Peter's age will be twice as John's age)
The setup is done. Now to the solution.
To solve the equation, simplify it step by step
x + 2 = 2x - 4
2 + 4 = 2x - x
6 = x
ANSWER. Peter is 6 years old now.
Solved.
Answer by josgarithmetic(39617)  (Show Source):
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