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 present ages of A and B is 11 times the difference of their ages. Six years hence, the total of their ages will be 15 times the difference of their ages. What is the present age of the older person?

  1. 25 years

  2. 20 years

  3. 15 years

  4. 18 years

  5. 16 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the present age of A be x years and that of B be y years. According to question, x + y = 11(x - y) -5x + 6y = 0 --------------------(1) Six years hence, age of A = x + 6 and that of B = y + 6 years Again, according to question, (x + 6) + (y + 6) = 15[(x + 6) - (y + 6)]

  • 7x + 8y = -6 --------------------(2) On solving equations (1) and (2), we get x = 18 and y = 15 So, the age of the older person is 18 years. Correct Answer: 18 years
Multiple choice

Five years ago, a grandfather was 7.5 times older than his grandson. After 15 years from today, the grandfather will be 20/7 times as old as his grandson will be at that time. What was the ratio of the ages of grandfather and grandson 1 year ago?

  1. 16 : 3

  2. 16 : 5

  3. 15 : 2

  4. 12 : 5

  5. 16 : 7
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let 5 years ago, grandson's age be x years and grandfather's age be 7.5x years. Now, after 15 years, grandson's age = x + 5 + 15 = x + 20 years and grandfather's age = 7.5x + 5 + 15 = 7.5x + 20 years Now, according to question, 20(x + 20)/7 = 7.5x + 20 x = 8 So, the present age of grandson = 8 + 5 = 13 years and that of the grandfather = 7.5 x 8 + 5 = 65 years One year ago, grandfather's age = 65 - 1 = 64 years and grandson's age = 13 - 1 = 12 years Now, ratio of their ages 1 year ago = 64 : 12 = 16 : 3

Multiple choice

A's present age is thrice his son's present age and 6/11th of his father's present age. The average present age of all of them is 38 years. What is difference between the present ages of A's father and A's son?

  1. 54 years

  2. 68 years

  3. 64 years

  4. 70 years

  5. 60 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the present age of A be x years. So, present age of the son = x/3 years and A's father's age = 11x/6 years Now, according to question, (x + x/3 + 11x/6)/3 = 38 19x/18 = 38 x = 36 So, present age of A = 36 years Therefore, present age of A's son = 36/3 = 12 years and that of A's father = 11 x 36/6 = 66 years Now, difference between A's father age and A's son age = 66 - 12 = 54 years

Multiple choice

A father has two sons - Amit and Anil. Amit's age is 1/2 of his father's age. The father's age will be 5/3 of Anil's age after 4 years. If the sum of the present ages of Amit and Anil is 27 years, then what is Amit's present age?

  1. 14 years

  2. 13 years

  3. 16 years

  4. 15 years

  5. 18 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the present age of Amit be x years and that of Anil be y years.

So, present age of father = 2x years

Now, sum of the ages of Amit and Anil is 27 years.

So, x + y = 27  -------------------(1)

After 4 years, father's age = 2x + 4 and Anil's age = y + 4

According to question,

2x + 4 =5/3(y + 4)

6x - 5y = 8 ------------------------(2)

After solving equations (1) and (2), we get

x = 13 and y = 14

So, the present age of Amit is 13 years.

Multiple choice

In a family, the ratio of the present ages of son, mother, father and grandfather is 1 : 4 : 5 : 11. The average age of son, mother and father is 20 years. What is the age of grandfather?

  1. 88 years

  2. 77 years

  3. 55 years

  4. 66 years

  5. 99 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the present age of son be 1x years, that of mother be 4x years, that of father be 5x years and that of grandfather be 11x years. According to question, (1x + 4x + 5x)/3 = 20 x = 6 So, present age of grandfather = 11 x 6 = 66 years

Multiple choice

Vivek is 3 times as old as Tarun. Sourabh was twice as old as Vivek 4 years ago. In 4 years, Vivek will be of 31 years. What is the present age of Tarun and Sourabh, respectively?

  1. 9 and 50

  2. 9 and 54

  3. 12 and 60

  4. 9 and 46

  5. 50 and 9
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

It is a correct answer .Solution-Let Vivek's present age = x Similarly,Let Tarun's present age = y and Sourabh's present age = z
We know, x = 3*y z-4 = 2*(x-4) and (x+4) = 31 (Given In statement) x=27 Therefore, y = 9 z = 50 The age of tarun is 9 years and of sourabh is 50 years.