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

$10$ years ago, the average age of a family of $4$ members was $24$ years. Two children having been born (with age difference of $2$ years), the present average age of the family is again $24$ years. Then the present age of the youngest child is:
  1. $1$ year
  2. $2$ years
  3. $3$ years
  4. $4$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

10 years ago: 4 members, average 24, sum = 96. Present sum = 96 + 4*10 = 136. Present family: 6 members, average 24, sum = 144. Sum of children = 144 - 136 = 8. Let children be x and x+2. x + x + 2 = 8 => 2x = 6 => x = 3.

Multiple choice

Sum of the ages of $X$ and $Y$, $12$ years, ago, was $48$ years and sum of the ages of $X$ and $Y$, $12$ years hence will be $96$ years. Present age of $X$ is _____
  1. $55$
  2. $72$

  3. Cannot be determined

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let X and Y be current ages. (X-12) + (Y-12) = 48 => X+Y = 72. (X+12) + (Y+12) = 96 => X+Y = 72. Both conditions provide the same information (sum of ages is 72). We cannot determine individual ages.