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# How To Solve Problem on Ages Questions Quickly

**How To Solve Ages Questions Quickly**

Here on this page we will discuss on How To Solve Ages Questions Quickly and easily is given below:

- Decide which age – either it is present or past or future.
- After deciding the age, Consider it as X.
- In most cases, we take the present age as ‘X’, i.e., the base year works just fine.
- Past will express as (x-5) years.
- The future can be expressed as (x+5).
- But sometimes, ‘present age’ is not directly given in words. Then,
*take ‘x’ to be the age you are going to find*. - Sometimes when nothing works then just look at the options and solve it through back calculations! It also works fine.

## Important Formulas to Know about Ages

- If you are assuming the current age to be x, then the age after n years will be (x+n) years.
- If you are assuming the current age to be x, then the age before n years will be (x-n) years.
- If the age is given in the form of a ratio, for example, p:q, then the age shall be considered as qx and px
- If you are assuming the current age to be x, then n times the current age will be (x×n) years
- If you are assuming the current age to be x, then 1/n of the age shall be equal to (x/n) years

## How To Solve Problem on Ages Questions Quickly

### Question 1.

A boy asks his father, ” what is the age of grandfather?”. Father replied ” He is x years old in x^{2} years”, and also said, “we are talking about the 20th century”. what is the year of birth of grandfather?

Options

A) 1995

B) 1892

C) 1895

D) 1893

#### Correct Option (B)

#### Explanation

20th century means 1900 to 2000

as He is x years old in x^{2} years

only square year in the 20th century is 44^{2}=1936

so Grandfather is 44 years old in 1936

& year of birth of grandfather is =1936-44=1892.

### Question 2.

Seven years ago, the combined ages of Amir and Akshay was twice that of Saif. If the sum of the ages of Akshay and Amir, fifteen years hence, is 98 years, what is the present age of Saif?

Options

A) 27 yrs

B) 35 yrs

C) 34 yrs

D) 49 yr

#### Correct Option (C)

#### Explanation

Amir — M

Akshay ..K

Saif .. S

(M -7)+(K-7) =2(S-7)

M + K – 14 = 2S – 14

M + K = 2S

M+K+30= 98

M+K=68

S= \frac{68}{2} \ =34 yrs.

## How To Solve Ages Questions Quickly

## Question 3.

Fathers age is 5 times his son’s age. 4 years back the father was 9 times older than son. Find the fathers’ present age.

Options

A) 36 yrs

B) 40 yrs

C) 50 yrs

D) 43 yrs

#### Correct Option (B)

#### Explanation

let son age=xfathers age=5x

4 years back, so (x-4)=(5x-4)

then father was 9 times older than son so, 9(x-4)=(5x-4)…..(1)

solving eqn (1), x=8

and fathers age =8*5=40 years

### Question 4.

**In a shopping mall with a staff of 5 members, the average age is 45 years. After 5 years a person joined them and the average age is again 45 years. What is the age of 6th person?**

Options

A) 35

B) 23

C) 20

D) 21

#### Correct Option(C)

#### Explanation

The Average age of 5 person after 5 yrs will be 50 yrs.

so total age of 5 person = 50*5=250

and total age of 6 person = 45*6=270

so age of 6th person= 270-250= 20 yrs

### Question 5.

Persons standing in the queue with different age group, after two years their average age will be 43 and the seventh person joined with them. hence the current average age has become 45. find the age of the seventh person?

Options

A) 69

B) 70

C) 40

D) 45

#### Correct Option (A)

#### Explanation

Let the age of 6 persons is ‘x’

ans:69

solution:after two years age will be =(x+12)

average age=43

therefore \frac{x+12}{6} \ =43 \implies x = 246

(x+7th person age)/7= (246+7th person age)/7=45(average age)

(by solving) the 7th person age is 69

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In the 2nd question it was given that seven years ago but, the expression was taken as M+K =2S which should be M+K-14=2S. The correct answer is 27.

it correct because 14 will be cancel by solving equation. in M+K+30=98 they just following data mentioned in question