A girl is currently 5yrs older than her younger brother and three yrs younger then her older brother. Two yrs from the current time, the product of the brothers ages will be tweleve times the age of the girl. What is the current age of the older brother?

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A girl is currently 5yrs older than her younger brother and three yrs younger then her older brother. Two yrs from the current time, the product of the brothers ages will be tweleve times the age of the girl. What is the current age of the older brother?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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x=girl's age x-5 = age of younger brother x+3= age of older brother IN TWO YEARS: x+2 = girl's age x-5+2=x-3 = age of younger brother x+3+2=x+5 = age of older brother (x-3)(x+5)=12(x+2)
x^2+2x-15=12x+24 x^2-10x-39=0 (x-13)(x+3)=0 x=13 or -3 Reject -3 as the girl's age is not negative So the girl is 13, her younger brother is 8 and her older brother is 16

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