Aptitude Problems On AgesPage 3
17. | | Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is: | | (a)38 years | | (b)39 years | | (c)40 years | | (d)41 years |
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Answer is: ALet Rajan's present age be X years.
Then, his age at the time of marriage = (X - 8) years
∴ X = 6/5(X - 8)
⇒ 5X = 6X – 48
X = 48
Rajan's sister age at the time of his marriage = (X - 8) - 10 = (X - 18) = 30 years
∴ Rajan's sister's present age = (30 + 8) years = 38 years
18. | | The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? | | (a)2 yeras | | (b)3 years | | (c)4 years | | (d)5 years |
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Answer is: CLet the ages of the children be X, (X+3), (X+6), (X+9) and (X+12) years.
Then, X + (X+3) + (X +6) + (X+9) + (X+12) = 50
⇒ 5X = 20
⇒ X = 4
∴ Age of the youngest child X = 4 years
19. | | A father said to his son, "I was as old as you are at the time of your birth" If the father's age is 38 years now, the son's age five years back was: | | (a)14 years | | (b)15 years | | (c)16 years | | (d)17 years |
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Answer is: ALet the son's present age be X years. Then,
(38 – X) = X
2 X = 38
X = 19
∴ Son's age 5 years back =( 19 – 5) = 14 years
20. | | In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is? | | (a)38 years | | (b)39 years | | (c)40 years | | (d)41 years |
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Answer is: BLet B's present age = X years
Then, A's present age = (X+9) years
∴( X +9 ) + 10 = 2(X - 10)
∴ X + 19 = 2X - 20
⇒ X = 39
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