Download : Problems on Ages with Solutions PDF

1. The ratio between the present ages of Sudhir and Madan is 4 : 5. If after five years the ratio of their ages becomes 5 : 6, what is the present age of Sudhir ?

(A) 18 years

(B) 20 years

(C) 22 years

(D) 21 years

(E) None of these

Option : B

2. 5 years ago, the age of Lata was two times the age of Arun. 10 years hence from today the age of Lata will be 4/3 times the age of Arun. What is the present age of Lata ?

(A) 20 years

(B) 22 years

(C) 24 years

(D) 18 years

(E) None of these

Option : A

3. The ratio between the present ages of Kunal and Ganesh is 3 : 5. If 4 years hence Kunal will be younger than Ganesh by 12 years, what is the present age of Kunal ?

(A) 17 years

(B) 19 years

(C) 22 years

(D) 16 years

(E) None of these

Option : E

4. If a son is younger than his father by 25 years and the father was 45 years old 4 years ago, what will be the total age of the father and son after 5 years ?

(A) 82 years

(B) 88 years

(C) 83 years

(D) 78 years

(E) None of these

Option : C

5. The sum of the ages of Yogesh, Prakash and Sameer is 93 years. 10 years ago the ratio of their ages was 2 : 3 : 4. What is the present age of Sameer ?

(A) 32 years

(B) 24 years

(C) 34 years

(D) 42 years

(E) None of these

Option : E

6. After 6 years Pradip’s age will be 3/7 times the age of his father. 10 years ago the ratio in the age of Pradip and his father was 1 : 5. What is the present age of Pradip’s father ?

(A) 40 years

(B) 50 years

(C) 56 years

(D) Data is inadequate

(E) None of these

Option : B

7. The age ratio in the ages of A and B, 1 year ago was 3 : 4. While it will be 5 : 6 after 1 year. What is the present age of B?

(A) 3 years

(B) 4 years

(C) 6 years

(D) Data is inadequate

(E) None of these

Option : E

8. The ratio in the ages of Vimal and Rumi is 3 : 5 and the sum of their ages is 80 years. What will be the ratio in their ages after 10 years ?

(A) 3 : 2

(B) 3 : 5

(C) 2 : 3

(D) 1 : 2

(E) None of these

Option : C

9. The age of Sushil 6 years ago was three times the age of Sanchit. 6 years hence the age of Sushil would be 5/3 times that of Sanchit. What is the present age of Sanchit?

(A) 14 years

(B) 22 years

(C) 18 years

(D) 21 years

(E) None of these

Option : E

10. The ratio in the present ages of Rakesh and Jayant is 3 : 2. Four years ago Rakesh’s age was more than Jayant’s age by 6 years. What is the present age of Jayant ?

(A) 18 years

(B) 12 years

(C) 6 years

(D) Data is inadequate

(E) None of these

Option : B

Solutions

1)Sudhirs present age =4x

Madan ‘s present age =5x

After 5 years

Sudhir’s age becomes 4x+5

Madan’s age becomes 5x+5

(4x+5)/(5x+5)=5:6

Find x

and then Sudhir’s age 4x=20

2)

5 years ago

Let Lasta’s sons age be x

Lata’s age b 2x

after 5 +10 =15 years

(2x+15)/(x+15)=4/3

find x

present age of Lata =2x+5=20

3)Kunal and ganesh age = 3x and 5x respectively

4 years later also difference will be same

2x=12

x=6

Kunals present age is 3x=18

None of these is answer

4)Father’s present age =45+4=49 years

SOn is 25 years younger than him

So son’s present age =24 years

total age after 5 years of bth =49+5+24+5=83

5)2x+10 +3x+10+4x+10=93

x=7

We need present age of Sameer=4x=28

6)10 years ago

age of pradip and his father was

x and 5x

Now it is x+10 and 5x+10

after 6 years it will be

x+16 and 5x+16

(x+16)/(5x+16)=3/7

find x

Prddepi’s father present age=5x+10=50

7)1 year ago A and b x and 2x

now x+1 and 2x+1 respectively

After 1 year

A and B are x+2 and 2x+2

(x+2)/(2x+2)=5/6

x=1

required B present age =4x+1=5

nt in solution

8)3:5

8x=80

x=10

30+10:50+10

4:6=2:3

9)6 years ago

Sushil and Sancheet

are 3x and x respectively

Now

3x+6 and x+6

after 6 years

3x+12 and x+12

(3x+12)/(x+12)=5/3

x=6

Present age of sancheet =6+6=12

10) Again difference =6 years

3x-2x=6

Jayant age=2x=12