Problems on Ages
 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 ?

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Let father's age be 4T and son's age T years.
∵ 4T x T = 196Correct Option: C
Let father's age be 4T and son's age T years.
∵ 4T x T = 196
⇒ T^{2} = 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
 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 ?

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

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∵ 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
 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 ?

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

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