Problems on Ages
- A is twice as old as B was two years ago. If the difference in their ages be 2 years, find A's age ?
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Let B;s age 2 years ago be N years
∴ A's present age = 2N years
From question, 2N - (N + 2) = 2Correct Option: C
Let B;s age 2 years ago be N years
∴ A's present age = 2N years
From question, 2N - (N + 2) = 2
⇒ N = 4
∴ A's age = 2 x 4 = 8 years
- A is 3 years younger to B, C is two years older then A. Then B's relation to C is ?
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Let the age of A be (x - 3) years
⇒ B's age = x years
⇒ C's age = (x - 3) + 2 = x - 1Correct Option: C
Let the age of A be (x - 3) years
⇒ B's age = x years
⇒ C's age = (x - 3) + 2 = x - 1
∴ B's age - C's age = x - (x - 1) = 1 year
∴ B is one year older then C.
- The respective ages of father and his son are 41 and 16 years. In how many years will the father be twice as old as his son ?
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Suppose x years later the father will be twice as old as his son.
∵ x + 41 = 2 (x + 16)Correct Option: B
Suppose x years later the father will be twice as old as his son.
∵ x + 41 = 2 (x + 16)
⇒ x = 41 - 32 = 9 years
- A is 20 years older than B. He is also 6 times as old as B.Then the respective age of A and B are ..... and .... years. ?
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Let the age of B be N years
According to the question
∵ N + 20 = 6NCorrect Option: A
Let the age of B be N years
According to the question
∵ N + 20 = 6N
∴ N = 4 years
∴ A's age = 4 x 6 = 24 years and B's age = 4 years
- Deepak is 4 times as old as his son. four years hence the sum of their ages will be 43 years. How old is deepak's son now ?
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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 years