Age Problems questions are commonly used in different exams. To check an individual's logical reasoning and mathematical abilities these questions generally involve calculating the current age or age difference between two individuals based on the given information such as their birth years, ages at a certain point of time. To solve these types of problems, one must use the fundamental concepts of arithmetic and algebra. Anyone can easily solve age related questions by regular practising questions.

Free online test is the best platform to gain your knowledge in Age Problems and practice more questions with solutions.

Learn these tips and tricks to improve your age problem calculations.

If the present age is y, then n times the present age = **ny**.

If the present age is x, then age n years later/hence = **x + n**

If the present age is x, then age n years ago = **x – n**

The ages in a ratio a: b will be ax and **bx**

If the current age is y, then $1/n$ of the age is **$y/n$**

**Question-1)**

**The ratio of the present ages of Sukanya and her mother is 2:9. The mother's age at the time of Sukanya’s birth was 28 years. Find their present ages.**

**Answer:**

Present ratio of ages between Sukanya and her mother is 2: 9.

Let the actual ages of Sukanya and her mother be $2x$ and $9x$.

The age of her mother at the time of Sukanya’s birth was 28 years.

Therefore, the difference between Sukanya and her mother's age will always remain 28 years.

∴ $9x – 2x = 28 ⇒ x = 4$

Hence their present ages are 8 and 36 yrs.

**Question-2)**

**The ratio of Bikash's age to Prakash's age is equal to 4 : 3. Ashok will be 26 years old after 6 years. How old is Prakash now?**

**Answer:**

Let Bikash's age = $4x$ years

and Prakash's age = $3x$ years

From question, $4x + 6 = 26 ⇒ x = 5 $

Prakash's age = $3x =3 × 5 = 15$ years

**Question-3)**

**The ages of Amiya and Srini are in the ratio of 7:6, and the difference between their ages is 3 years. What is the sum of their ages?**

**Answer:**

Let the present of Amiya and Srini are 7k yr and 6k yr, respectively.

∴ 7k - 6k = 3

∴ k = 3

Hence, required sum = 7k + 6k = 21 x 18 = 39 years

**Question-4)**

**P is two years older than Q who is twice as old as R. If the total of the ages of P, Q and R be 27, the how old is Q?**

**Answer:**

Let R's age be $x$ years. Then, Q's age = 2x years. P's age =$ (2x + 2)$ years.

∴ $(2x + 2) + 2x + x$ = 27

⇒ $5x = 25 ⇒ x = 5$

Hence, Q's age =$ 2x $= 10 years

**Question-5)**

**The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?**

**Answer:**

Let the present ages of son and father be $x$ and $(60 -x)$ years respectively.

Then, $(60 - x) - 6 = 5(x - 6)$

⇒ $54 - x = 5x - 30$

⇒ $6x = 84$

⇒ $x = 14$

∴ Son's age after 6 years = $(x + 6)$ = 20 years

Online Test - 1 (Problems on Ages) TAKE TEST
Number of questions : 20 | Time : 30 minutes |

Online Test - 2 (Problems on Ages) TAKE TEST
Number of questions : 20 | Time : 30 minutes |

Online Test - 3 (Problems on Ages) TAKE TEST
Number of questions : 20 | Time : 30 minutes |