The product of the ages of Alan and Terry is 80 more than the product of their ages 4 years prior. If Alan is 4 years older than Terry, what are their current ages?
Answers
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Solution :-
Let Terry present age is x years .
So,
→ Alan present age = (x + 4) years .
now,
→ 4 years before, terry age = (x - 4) years .
→ 4 years before , alan age = (x + 4) - 4 = x years .
A/q,
→ x(x + 4) - x(x - 4) = 80
→ x[(x + 4) - (x - 4)] = 80
→ x[x + 4 - x + 4] = 80
→ 8x = 80
→ x = 10
therefore,
→ Current age of Terry = 10 years .
→ Current age of Alan = 14 years .
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