Problems on Ages
- After five years the age of a father will be thrice the age of his son whereas five years ago, he was seven times as old as his son was. What is father's present age ?
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Let son's age 5 years hence = x years
Then, father's age after 5 years hence = 3x years
∵ 7(x - 10) = (3x - 10)Correct Option: B
Let son's age 5 years hence = x years
Then, father's age after 5 years hence = 3x years
∵ 7(x - 10) = (3x - 10)
⇒ x(7 - 3) = 70 - 80
⇒ x = 15
∴ Father's present age = (3x - 5) = 40 years
- The age of arvind's father is 4 times of his age. If 5 years ago, father's age was 7 times of the age of his son at that time. What is arvind's father's present age ?
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Let Arvind's present age be x years
Then, his father's present age = 4x years
∵ (4x - 5) = 7(x - 5)
Correct Option: B
Let Arvind's present age be x years
Then, his father's present age = 4x years
∵ (4x - 5) = 7(x - 5)
⇒ 3x = 30
∴ x = 10
Hence, Arvind's father's age is 40 years.
- The difference between the ages of two persons is 10 years. 15 years ago the elder one was twice as old as the younger one. The present age of the elder person is ?
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Let the present age of the elder person be x years.
Then, the present age of the younger person = (x - 10) years.
∵ (x - 15) = 2(x - 10 - 15)Correct Option: B
Let the present age of the elder person be x years.
Then, the present age of the younger person = (x - 10) years.
∵ (x - 15) = 2(x - 10 - 15)
⇒ x = 35
∴ the present age of the elder person is 35 years.
- The sum of the ages of a mother and a daughter is 50 years. Also, 5 years ago, the mother's age was 7 times of the age of her daughter. The present ages of the mother and the daughter respectively are ?
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Let the daughter's present be x years.
Then, mother's present age = (50 - x) years
Now, 7(x -5) = (50 - x - 5)Correct Option: C
Let the daughter's present be x years.
Then, mother's present age = (50 - x) years
Now, 7(x -5) = (50 - x - 5)
⇒ x = 10
So, the present ages of mother and daughter are 40 years and 10 years respectively.
- Kamla got married 6 years ago. Today her age is 11/4 times her son's age at the time of marriage. Her son's age is (1/10) times of her age. Her son's age is ?
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Let Kamla's age 6 years ago be x years.
So, Kamla's present age = (x + 6) years
∴ x + 6 = 5x / 4Correct Option: B
Let Kamla's age 6 years ago be x years.
So, Kamla's present age = (x + 6) years
∴ x + 6 = 5x / 4
⇒ 4x + 24 = 5x
⇒ x = 24
So, Kamla's Present age = (x + 6) years = 30 years
∴ Son's present age = 30/10 = 3 years