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

Three years ago, the ratio of the ages of Amisha and Nimisha was 8:9 respectively. 3 years hence, the ratio of their ages will be 11:12 respectively. What is the present age of Amisha?

  1. 21 years

  2. 16 years

  3. 19 years

  4. Cannot be determined

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

Let ages 3 years ago be 8x and 9x. Present ages are 8x+3 and 9x+3. 3 years hence, ages are 8x+6 and 9x+6. Ratio (8x+6)/(9x+6) = 11/12. 96x + 72 = 99x + 66, so 3x = 6, x = 2. Amisha's present age = 8(2) + 3 = 19.

Multiple choice

4 year's ago, the ratio of ½ of A's age at that time and four times of B's age at the time was 5:12. Eight year's hence, ½ of A's age at that time will be less than B's age at that time by 2 years. What is B's present age?

  1. 20 years

  2. 14 years

  3. 12 years

  4. 10 years

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A and B be present ages. 4 years ago: (A-4)/2 / 4(B-4) = 5/12 => (A-4) / 8(B-4) = 5/12 => 12A - 48 = 40B - 160 => 12A - 40B = -112 => 3A - 10B = -28. 8 years hence: (A+8)/2 = (B+8) - 2 => A+8 = 2B + 12 => A - 2B = 4 => A = 2B + 4. Substitute: 3(2B+4) - 10B = -28 => 6B + 12 - 10B = -28 => -4B = -40 => B = 10.