SOLUTION: Peter is x years old and his sister is5 years older. If the product of their age is 84 form an equation in x and solve it to find Petr's age. I would really appriciate it if y

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Peter is x years old and his sister is5 years older. If the product of their age is 84 form an equation in x and solve it to find Petr's age. I would really appriciate it if y      Log On

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Question 13458: Peter is x years old and his sister is5 years older. If the product of their age is 84 form an equation in x and solve it to find Petr's age.

I would really appriciate it if you would assit me in this Thanks.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Peter's age = x.
His sister's age = x+5
x%28x%2B5%29+=+84
x%5E2+%2B+5x+=+84 Subtract 84 from both sides.
x%5E2+%2B+5x+-+84+=+0 Solve for x by factoring.
%28x+%2B+12%29%28x+-+7%29+=+0
x+=+-12 Discard, as ages can't be negative.
x+=+7 Peter's age is 7 years old and his sister is 12 years old.