Multiple choice

Father's age is four less than five times the age of his son and the product of their ages is 288. Find the age of the father.

  1. 35

  2. 7

  3. 8

  4. 31

  5. 36
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let the son's age be x years. So, father's age=5x-4 years Therefore, x(5x-4)=288 5x2-4x-288=0 5x2-40x+36x-288=0 5x(x-8)+36(x-8)=0 (x-8)(5x+36)=0 x=8 or x=-36/5 therefore x=8 Son's age=8 years and father's age=5x-4=36 years

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