SOLUTION: Josef’s father is seven time as old as he is. One year ago, he was nine times as old as Josef.Find Josef’s present age?

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Question 1167305: Josef’s father is seven time as old as he is. One year ago, he was nine times as old as Josef.Find Josef’s present age?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
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Josef’s father is seven times as old as he is. One year ago, he was nine times as old as Josef. Find Josef’s present age?
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f is k times as old as x. p years ago, f-p was v times as old as x-p.
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Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
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Let x = Josef's age.


Then his father's age is 7x, according to the condition.


One year ago

    7x - 1 = 9*(x-1)


Simplify and solve

    7x - 1 = 9x - 9

    9 - 1 = 9x - 7x

      8   = 2x

      x   = 8/2 = 4.


ANSWER.  Josef is 4 years old now.

Solved.


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