The sum of the ages of father and son at present is 33. Two years ago the product of their ages was 28. What is the age of the father and the son?
A) 26, 7 B) 30, 3 C) 29, 4 D) 32, 1
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Answer:
B) 30, 3
Step-by-step explanation:
let father's present age = x
son's present age = 33-x
2 years ago father's present age = x-2
and son's age = 33-x-2 = 31-x
given, (x-2)(31-x) = 28
=> 31x-x^2-62+2x = 28
=> x^2 - 33x + 90 = 0
=> x^2 - 30x - 3x + 90 = 0
=> x(x-30) - 3(x-30) =0
=> (x-30)(x-3) = 0
=> x-30 = 0 or x-3 = 0
=> x = 30 or 3 [impossible]
33-x = 3
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