Question

The sum of ages of a son and his father
is 35 years and product of their ages & is 150 years .Find their ages ​

Answer 1

Answer:

sum of the ages of a son and his father is 35

x + y = 35

the product of their ages is 150.

xy = 150

x = 150/y

Substitute x = 150/y into

x + y = 35

150/y + y = 35

Common denominator = y

150 + y^2 = 35y

y^2 - 35y + 150 = 0

(y - 5)(y - 30)

Son's age is 5 years old.

The father's age is 30 years old.

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