Problems on Ages with Solutions PDF

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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

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