Multiple choice

Five years ago the age of father was 3.5 times the age of son. After 3 years age of father will be only 2.5 times the age of son. Find the present age of Son.

  1. 23 years

  2. 17 years

  3. 25 years

  4. 27 years

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be F (father) and S (son). Five years ago: F−5=3.5(S−5). After 3 years: F+3=2.5(S+3). Solving gives F−5=3.5S−17.5 and F+3=2.5S+7.5, so F=3.5S−12.5 and F=2.5S+4.5. Equating: 3.5S−12.5=2.5S+4.5, so S=17. Option B is correct.