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Let the present age of man be x years.
Let the present age of son be y years.
Given that sum of ages of man and his son is 45 years.
= > x + y = 45
= > x = 45 - y ------ (1)
5 years ago:
Age of man = x - 5.
Age of son = y - 5.
Given that 5 years ago the product of their age was 4 times the man's age.
= > (x - 5)(y - 5) = 4(x - 5)
= > (45 - y - 5)(y - 5) = 4(45 - y - 5)
= > (40 - y)(y - 5) = 4(40 - y)
= > y - 5 = 4
= > y = 9.
Substitute y = 9 in (1), we get
= > x = 45 - y
= > x = 45 - 9
= > x = 36.
Therefore,
The present age of man = 36 years.
The present age of son = 9 years.
Hope this helps!
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