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 general knowledge math & puzzles

Father is aged three times more than his son Johnny. After 8 years, he would be two and a half times of Johnny's age. After further 8 years, how many times would he be of Johnny's age?

  1. 2 times

  2. 2.5 times

  3. 2.75 times

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

Let Johnny's age = x. Father = 4x (three times more means four times as much). After 8 years: 4x + 8 = 2.5(x + 8). Solving: 4x + 8 = 2.5x + 20, so 1.5x = 12, x = 8. After 16 more years (total 24 years from now), Johnny = 32, Father = 64. Ratio = 64/32 = 2 times.

Multiple choice

The ratio between the present ages of P and Q is 3 : 7. If after 5 years, the age of Q becomes twice the age of P, then find the present age of P.

  1. 15 years

  2. 12 years

  3. 21 years

  4. 18 years

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

Let the present age of P be 3x years.

So the present age of Q be 7x years.

Now, after 5 years, P's age = 3x + 5 years and Q's age = 7x + 5 years

So, according to question,

2(3x + 5) = 7x + 5

On solving this equation, we get

x = 5

So, the present age of P is 3x = 3 * 5 = 15 years.

Multiple choice

Ten years ago, Rekha's age was 10 years more than twice of Megha's age. Six years hence, sum of their ages will be 78 years. Find the ratio of their present ages.

  1. 21 : 12

  2. 2 : 1

  3. 1 : 2

  4. 31 : 35

  5. 25 : 41
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ten years ago, let Megha's age be x years. 

Then, Rekha's age = 2x + 10 years 

So, present age of Rekha = 2x + 10 + 10 = 2x + 20 years and present age of Megha = x + 10 years 

Now, six years hence, Rekha's age = 2x + 20 + 6 = 2x + 26 years and Megha's age = x + 10 + 6 = x + 16 years 

According to question,

2x + 26 + x + 16 = 78

x = 12

So, ten years ago, Megha's age = 12 years and Rekha's age = 2 x 12 + 10 = 34 years 

Now, present age of Rekha = 34 + 10 = 44 years and pressent age of Megha = 12 + 10 = 22 years

So, ratio of their present ages = 44 : 22 = 2 : 1

Multiple choice

The ages of A and B are in the ratio 4 : 5. After 14 years, the ratio of their ages will be 6 : 7. What was the difference of their ages 5 years ago?

  1. 5 years

  2. 7 years

  3. 6 years

  4. 4 years

  5. 8 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the present age A be 4x years and that of B be 5x years. 

After 14 years, A's age = 4x + 14 years and B's age = 5x + 14 years

Now, according to question, 

(4x + 14)/(5x + 14) = 6/7

x = 7

Now, present age of A = 4 * 7 = 28 years and present age of B = 5 * 7 = 35 years

Age of A 5 years ago = 28 - 5 = 23 and B's age 5 years ago = 35 - 5 = 30 years

So, the difference of ages of A and B is 30 - 23 = 7 years.

Multiple choice

A father is 14 times older than his son. After 12 years, his age will be 20/7 of the age of his son. Find the present age of the father.

  1. 30 years

  2. 32 years

  3. 26 years

  4. 28 years

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

Let the present age of son be x years.

Then, present age of father = 14x years

After 12 years, son's age = x + 12 years and father's age = 14x + 12 years 

Now, according to question,

20/7(x + 12) = 14x + 12

x = 2

So, present age of father = 14x = 14 * 2 = 28 years

Multiple choice

The sum of the present ages of both father and son is 86 years. Five years ago, the father was 2 years less than twice as old as his son at that time. Find the present age of the son.

  1. 31 years

  2. 30 years

  3. 32 years

  4. 34 years

  5. 36 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the present age of father be x years and that of the son 86 - x years.

Five years ago, father's age = x - 5 years and son's age = (86 - x - 5) = 81 - x years

Now, according to question,

x - 5 = 2(81 - x) - 2

x = 55

So, present age of father = 55 years 

Therefore, present age of son = 86 - 55 = 31 years

Multiple choice

If a son is younger than his father by 23 years and 5 years ago, the father was 30 years old, then what is the sum of their ages after 10 years?

  1. 70 years

  2. 80 years

  3. 72 years

  4. 67 years

  5. 52 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the present age of father be x years.

Five years ago, father's age = x - 5 years

Now, according to question,

x - 5 = 30

x = 35 years

So, father's present age = 35 years

So, son's present age = 35 - 23 = 12 years 

Now, total age of father and son after 10 years = (35 + 10) + (12 + 10) = 67 years

Multiple choice

The age of father is 2 years more than twice his son's present age. After 7 years, the sum of their ages will be 121 years. Find the present age of the father.

  1. 70 years

  2. 76 years

  3. 72 years

  4. 60 years

  5. 66 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the present age of the son be x years.

Then, present age of father = 2x + 2 years 

Now, after 7 years, son's age = x + 7 years and father's age = 2x + 2 + 7 = 2x + 9 years

Now, according to question, 

x + 7 + 2x + 9 = 121 

x = 35

So, present age of son = 35 years

Therefore, present age of father = 35 * 2 + 2 = 72 years

Multiple choice

Anuj is 2 years younger than Rakesh and Rakesh is 39 years younger than Rahul. If the age of Rahul is 3 times of the sum of ages of Anuj and Rakesh, then find the present age of Rahul.

  1. 48 years

  2. 46 years

  3. 40 years

  4. 50 years

  5. 44 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the present age of Rahul be x years.

Then, present age of Rakesh = x - 39 years 

So, present age of Anuj = x - 39 - 2 = x - 41 

Now, according to question,

x = 3(x - 39 + x - 41)

x = 48 years

Multiple choice

The sum of the ages of a father and his son is 40 years. Four years ago, the father's age was 3 times his son's age. What is the present age of the father?

  1. 28 years

  2. 32 years

  3. 30 years

  4. 25 years

  5. 20 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the present age of father be x years. So, present age of son = 40 - x years Four years ago, age of father = x - 4 years and age of son = 40 - x - 4 = 36 - x years Now, according to question, x - 4 = 3(36 - x) On solving this equation, we get x = 28 years So, the present age of father is 28 years.