SOLUTION: beth is 6 years older than pia , find their present age if the product of beth's age 5 years from now and pia's age 6 years ago is 53.

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Question 914267: beth is 6 years older than pia , find their present age if the product of beth's age 5 years from now and pia's age 6 years ago is 53.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
b, beth now
p, pia now
b=p+6.

%28b%2B5%29%28p-6%29=53 according to description.
%28p%2B6%2B5%29%28p-6%29=53 when substitute for b.
%28p%2B11%29%28p-6%29=53
p%5E2%2B5p-66=53
p%5E2%2B5p-13=0, not factorable.

p=%28-5%2Bsqrt%2825%2B4%2A13%29%29%2F2
highlight%28p=%28sqrt%2877%29-5%29%2F2%29

and you can try to simplify for beth's age, highlight%28b=%28sqrt%2877%29-5%29%2F2%2B6%29


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sqrt%2877%29=8.775 approx.