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 age of the father is equal to the age of his three children taken together. After 9 year the age of the father will be equal to the sum of the age of the first two children. Three years after that, it would be equal to the sum of the age of the eldest and the youngest children. Again after three years it would be equal to the sum of the two youngest children. What is the present age of the youngest child?

  1. 9 year

  2. 8 years

  3. 3 years

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

Let F be father, C1, C2, C3 be children. F = C1+C2+C3. After 9 years: F+9 = (C1+9) + (C2+9) = C1+C2+18. Substituting F: C1+C2+C3+9 = C1+C2+18 => C3 = 9.

Multiple choice

Danish is 38 years old right now. If his son's age right now is the same as Danish's age during the birth of his son, then what was his son's age 5 years ago?

  1. 19 years

  2. 38 years

  3. 33 years

  4. 14 years

  5. 24 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the son's age. Danish's age at birth was 38 - x. The problem states the son's current age (x) equals Danish's age at birth (38 - x). So, x = 38 - x, which means 2x = 38, so x = 19. Five years ago, the son was 19 - 5 = 14 years old.

Multiple choice

Ages of three men are in the ratio 3:6:8. If the thrice the sum of ages of eldest and youngest brothers is eighteen less than the six times of age of the other brother. Find the average age of the brothers.

  1. 28

  2. 34

  3. 51

  4. 58.5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ages are 3x, 6x, 8x. Thrice the sum of eldest and youngest: 3(8x + 3x) = 33x. Six times the other brother: 6(6x) = 36x. Equation: 33x = 36x - 18 => 3x = 18 => x = 6. Ages are 18, 36, 48. Average = (18+36+48)/3 = 102/3 = 34.

Multiple choice

At present, Pia is 6 years older than Ray. The respective ratio between the present ages of Pia and Mini is 3 : 4. At present, Ray is 14 years younger than Mini. What is Ray's present age?

  1. 16 years

  2. 20 years

  3. 14 years

  4. 18 years

  5. 24 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let R be Ray's age, P be Pia's age, and M be Mini's age. We have P = R + 6, P/M = 3/4, and R = M - 14. Substituting M = R + 14 into the ratio gives (R + 6)/(R + 14) = 3/4. Solving 4(R + 6) = 3(R + 14) yields 4R + 24 = 3R + 42, so R = 18.

Multiple choice

Joseph said to his daughter Eva, "Seven years ago, I were seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be." What is the present age of Eva?

  1. 12 years

  2. 15 years

  3. 14 years

  4. None of these

  5. 42 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let J be Joseph's age and E be Eva's age. Seven years ago: J - 7 = 7(E - 7). Three years from now: J + 3 = 3(E + 3). Solving the first gives J = 7E - 42. Substituting into the second: 7E - 42 + 3 = 3E + 9, which simplifies to 4E = 48, so E = 12.

Multiple choice

Directions: Joseph said to his daughter Eva, "Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be." If the present ages of Eva and Joseph are x and y years, respectively, represent this statement algebraically.

  1. 3x - y = -6, 7x - y = 42

  2. y - 3x = -6, 7x - y = 49

  3. 3x + y = 4, 7x + y = 42

  4. 4x - y = -1,7x - y = 4

  5. e
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Seven years ago: (y-7) = 7(x-7) => y-7 = 7x-49 => 7x-y = 42. Three years from now: (y+3) = 3(x+3) => y+3 = 3x+9 => 3x-y = -6.