1.

The sum of the ages of a father and his son is 50 year 5 years ago the product of their ages was 175. find their present ages

Answer»

Let the age of son be a

Age of FATHER = 50 - a

According to question,

(a - 5) ( 50 - a - 5) = 175

=> ( a - 5)(45 - a) = 175

=> 45a + 5A - a^2 - 225 = 175

=> - a^2 + 50a - 400 = 0

=> a^2 - 50a - 400 = 0

=> a^2 - 40a - 10a - 400 = 0

=> a(a-40) - 10(a-40)= 0

=> (a-10)(a-40) = 0

a = 40, 10

Son's age = 10 years

Father's age = 40 years


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