the sum of ages of a man and his son is 45 years. Five yearsago, the product of their age was four times the man's age at the time. Find their present ages.
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Step-by-step explanation:
Let the 'x' years be the present age of the son
Given: sum of present ages of man and his son is 45 years.
Man's present age = (45-x)years
Five years ago :
Man's age = (45-x-5) = (40 - x) years
son's age = (x - 5)years
A.T.Q
Product of their ages was four times the man's age at the time.
(40 - x)(x - 5) = 4(40 - x)
x - 5 = 4
[(40 - x) got cancelled]
x = 4 + 5
x = 9 years
Son's present age = x = 9 years
Man's present age = (45-x) years = (45 - 9) years = 36 years
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