Quantitative Aptitude

Problems on Ages

1,744 Questions
All Translate multiples, fractions, and percentages 518 Use two ratios from different dates 500 Convert an age ratio into actual ages 258 Handle averages and changing groups 167 Generational age chains 111 Recognize equal age gaps 101 Product of ages 68 Ages in arithmetic progression 11 Division of lifespan 9

Problems on Ages Questions

Multiple choice

A father is twice as old as his son. Twenty years ago, the age of the father was 12 times the age of the son. The present age of the father is

  1. 44 years

  2. 32 years

  3. 22 yrs

  4. 45 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let son be x years old. Father = 2x 20 years ago, son = x - 20 father = 2x - 20 2x - 20 = 12*(x - 20) 2x - 20 = 12x - 240 Add 20 to both sides. 2x = 12x - 240 + 20 2x = 12x - 220 Add - 12x to both sides. 2x - 12x = 12x - 12x - 220 -12x + 2x = -240 + 20 -10x = -220 Divide by -10. x = -220/-10 x = 22 (son's age) Father's age = 2*22 = 44 years

Multiple choice

The age of a man is 3 times of his son. 15 year ago, the man was 9 times as old as his son. What will the age of the man after 15 year?

  1. 45 year

  2. 60 year

  3. 75 year

  4. 65 year
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

"the man is 3 times as old as his son" ___ f = 3s "15 years ago, the man was 9 times as old as his son was then" ___ f - 15 = 9(s - 15) substituting ___ 3s - 15 = 9(s - 15) distributing ___ 3s - 15 = 9s - 135 adding 135 - 3s ___ 120 = 6s dividing by 6 ___ 20 = s substituting ___ f = 3(20) = 60 Therefore, after 15 years, the age of the man will be = 60 + 15 = 75 years.