A girl is currently 5 years older than her younger brother and 3 years younger t

Question

A girl is currently 5 years older than her younger brother and 3 years younger than her older brother. Two years from the current time, the product of the ages of the brothers will be 12times the age of the girl. What is the current age of the older brother? A girl is currently 5 years older than her younger brother and 3 years younger than her older brother. Two years from the current time, the product of the ages of the brothers will be 12times the age of the girl. What is the current age of the older brother?

Explanation / Answer

Dear Student Thank you for using Chegg !! Let the age of girl be G and ages of younger and elder brother be B1 & B2 Given G = B1 + 5 => B1 = G - 5 G = B2 -3 => B2 = G + 3 Now 2 years from now (B1 + 2)(B2 + 2) = 12 (G + 2) (G - 5 + 2) ( G + 3 + 2) = 12 (G + 2) (G - 3) ( G + 5) = 12G + 24 G^2 + 2G - 15 = 12G + 24 G ^2 - 10G- 39 = 0 G^2 -13G + 3G - 39 = 0 G (G -13) + 3(G - 13) = 0 (G + 3)(G - 13) = 0 G = -3 , 13 G = 13 Age of older brother = G + 3 16 years Slution

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