Test Preparation on Age Problems for Competitive Exams

1.

A person‘s present age is two-ninth of the age of his mother. After 10 years, he will be four-eleventh of the age of his mother. How old is the mother after 15 years?

Present ratio P:M ==>2:9 After 10years P:M=4:11 Then (2x+10)/(9x+10) = 4/11 22x+110=36x+40 X=5. Then Mother

2.

The ratio of the ages of A and B is 5: x. A is 18 years younger than C. After nine years C will be 47 years old. If the difference between the ages of A and B is the same as the age of C, what is the value of x?

Given A: B=5:x

3.

16 years ago, my Uncle was 8 times older than me. After 8 years from today, my uncle will be thrice as old as I will be at that time. Eight years ago, what was the ratio of my age and my uncle

Let 16 yrs ago the age of mine was=x (x+24)/(8x+24)=1/3 X=48/5=9.6 My present age is 9.6+16=25.6 Present age of my Uncle =8*9.6+16=92.8 Required ratio =(25.6-8)/(92.8-8) =17.6/84.8=11:53.

4.

The sum of present ages of A and B is 11 times the difference of their ages. 5 years hence, their total ages will be 13 times the difference of their ages. What is the present age of the elder one?

A+B=11(A-B) A:B=6:5 According to 2nd condition 6x+5x+10=13(6x-5x)=5 A

5.

The average age of a husband-wife and their son was 42 years. The son got married and exactly after 1 year a child was born to them. When the child became 5 years old, the average age of the family became 36 years. What was the age of bride at the time of marriage?

F+M+S=42*3=126 The age of family after 6 years =36*5=180 The age of bride after 6 years=180-(126+18+5) =180-149==>31yrs Age of bride at the time of marriage=31-6=25yrs.

6.

A says, "If you reverse my own age, the figures represent my Brother‘s age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum.‖ Then A‘s brother‘s age is ?

From option 54-45=1/11(45+54) 9=9 Condition satisfied.

7.

L is as much younger than M as he is older than N. If the sum of the ages of M and N is 60 years, what is definitely the difference between M and Ls age?

8.

If three times of the son‘s age in years is included to the mother‘s age, the total is 75 and if two times of the mother‘s age is included to the son‘s age, the total is 80. So the son‘s age is?

Let daughter

9.

The ages of P, Q and R together are 57 years. Sis thrice as old as P and R is 12 years older than P. Then, the difference between ages Q and R is?

Let P

10.

If 10 years are subtracted from the present age of Sharmi and the remainder is divided by 6, then the present age of his grandson Epsi is obtained. If Epsi is 2 years younger to Nove whose age is 7 years, then what is Sharmi‘s present age?

Epsi age =7-2=5yrs Let Sharmi age be x years. Then (x-10)/6=5 X=40


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