## Problems on Ages

#### Problems on Ages

1. The ratio of father's age to the son's age is 4 : 1. The product of their ages is 196. the ratio of their ages after 5 years will be ?
1. 3 : 1
2. 10 : 3
3. 11 : 4
4. 14 : 5

1. Let father's age be 4T and son's age T years.
∵ 4T x T = 196

##### Correct Option: C

Let father's age be 4T and son's age T years.
∵ 4T x T = 196
⇒ T2 = 49
∴ T = 7
Father's age after 5 years = (4T + 5) = 33 years
Son's age after 5 years = (T + 5) = 12 years
∴ Ratio of their ages after 5 years = 33 : 12 = 11 : 4

1. Mr. Sohanlal is 4 times as old as his son. Four years later the sum of their ages will be 43 years. The present age of son is ?
1. 5 years
2. 7 years
3. 8 years
4. 10 years

1. Let the son's present age be x years
Then, (x + 4) + (4x + 4) = 43

##### Correct Option: B

Let the son's present age be x years
Then, (x + 4) + (4x + 4) = 43
⇒ 5x = 35
∴ x = 7

1. The ratio of Vimal's age and Aruna's age is 3 : 5 and sum of their ages in 80 years. The ratio of their ages after 10 years will be ?
1. 2 : 3
2. 1 : 2
3. 3 : 2
4. 3 : 5

1. ∵ 3x + 5x = 80
⇒ x = 10
Ratio of their ages after 10 years = (3x + 10) : (5x + 10)

##### Correct Option: A

∵ 3x + 5x = 80
⇒ x = 10
Ratio of their ages after 10 years = (3x + 10) : (5x + 10) = 40 : 60 = 2 : 3

1. Ratio of Ashok's age to Pradeep's age equal to 4 : 3. Ashok will be 26 years old after 6 years. How old is Pradeep now ?
1. 12 years
2. 15 years
3. 191/2 years
4. 21 years

1. Let Ashok's age = 4x years and Pradeep's age = 3x years
From question, 4x + 6 = 26

##### Correct Option: B

Let Ashok's age = 4x years and Pradeep's age = 3x years
From question, 4x + 6 = 26
⇒ x = 5
&ther4; Pradeep's age = 3x = 15 years.

1. Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years later?
1. 20 years
2. 10 years
3. 30 years
4. 15 years

1. Let Ajay's age 10 years back be x years.
Then Sachin's age 10 years back = 2x years
∴ 2x + 20 = 40

##### Correct Option: A

Let Ajay's age 10 years back be x years.
Then Sachin's age 10 years back = 2x years
∴ 2x + 20 = 40
⇒ x = 10
∴ Present age of Ajay = x + 10 = 20 years