Multiple choice

The age of father is four times that of the younger son. Five years hence the age of the father will be twice that of the elder son. If the difference of ages of the two sons is 10 years, the age of father is-

  1. 60 years

  2. 50 years

  3. 55 years

  4. 65 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let father's age = F, younger son = Y, elder son = E. Given: F=4Y, (F+5)=2(E+5), E-Y=10. Solving: From F=4Y, substituting: 4Y+5=2E+10, 4Y-5=2E. Since E=Y+10: 4Y-5=2(Y+10), 4Y-5=2Y+20, 2Y=25, Y=12.5, F=50. The answer is 50 years.

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