How To Solve Problem on Ages Questions Quickly

 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