Quantitative Aptitude

Problems on Ages

346 Questions

Problems on Ages involve calculating current, past, or future ages using ratios, averages, and simple equations. These questions are a regular feature in the arithmetic section of most competitive exams. Practicing these problems helps improve calculation speed and accuracy for time management during tests.

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Problems on Ages Questions

Multiple choice

The sum of the ages of X and Y is 45 years, the sum of the ages of Y and Z is 55 years. And the sum of the ages of X and Z is 65 years. What is the age of Y in years?

  1. 17.5

  2. 27.5

  3. 37.5

  4. 19.5

  5. none
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

X + Y = 45 (1) Y + Z = 55 (2)
X + Z = 65 (3) (X + Z) – (X + Y) = 65 – 45 [Equation(2) – (1)] = Z – Y = 20 (4) (Z – Y) + (Z + Y) = 20 + 55 [Equation(4) + (2)] = 2Z = 75 = Z = 37.5 Y + 37.5 = 55 (Substituting the value of Z in equation 2) = Y = 17.5

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.