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

The present ages of $A$ and $B$ are in the ratio $15:8$. After ten years, their ages will be in the ratio $5:3$. Find their present ages.
  1. $A= 60$ years and $B= 32$ years
  2. $A= 20$ years and $B= 32$ years
  3. $A= 70$ years and $B= 42$ years
  4. $A= 30$ years and $B= 12$ years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the ages be 15x and 8x. After 10 years, (15x + 10)/(8x + 10) = 5/3. Cross-multiplying gives 45x + 30 = 40x + 50, so 5x = 20 and x = 4. The ages are 15 * 4 = 60 and 8 * 4 = 32.

Multiple choice

The ratio of age between $A$ and $B$ is $6 : 5$ and the age of each $C$ and $D$ is $\dfrac {9}{10}$ times that of $B$. Age of $F$ is less than $A$ but greater than $B$. The ratio of ages between $B$ and $E$ is $2 : 3$. Also age of $A$ is $3$ years less than $E$. What is the ratio of ages of $A$ and $F$ if all the ages are in integers?
  1. $12 : 11$
  2. $9 : 7$
  3. $24 : 19$
  4. $12 : 13$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A/B = 6/5, C=D=0.9B. B/E = 2/3. A = E - 3. Substituting E = 1.5B into A = E - 3 gives A = 1.5B - 3. Since A/B = 6/5, A = 1.2B. Thus 1.2B = 1.5B - 3, so 0.3B = 3, B = 10. Then A = 12, E = 15. F is between A(12) and B(10), so F = 11. Ratio A:F = 12:11.