Problems on Ages
- The ratio of present ages of two brothers is 1 : 2 and 5 years ago the ratio was 1: 3. What will be the ratio of their ages after 5 years?
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Let us assume their present ages be x and 2x years;
Correct Option: C
Let us assume their present ages be x and 2x years; then
5 years ago ages of the brothers was x - 5 and 2x - 5 years.
According to question, 5 years ago the ratio was 1: 3
( x - 5)/(2x - 5) = 1/3
⇒ 3x-15 = 2x -5
∵ x = 10
Hence, their present ages 10 years and 20 years.
Ages after 5 years will be 10 +5 and 20 + 5 Years
Required ratio = 10+5/20 + 5 = 15/25 = 3/5 = 3 : 5
- Three years ago the average age of A and B was 18 years. With C joining them, now the average become 22 years. How old is C now ?
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Sum of age of A and B, 3 years ago = (18 x 2) = 36 years
Sum of ages of A, B and C, now = (22 x 3) = 66 years
Sum of ages of A and B, now = (36 + 6) years = 42 years
∴ C's present age = (66 - 42) years = 24 yearsCorrect Option: A
Sum of age of A and B, 3 years ago = (18 x 2) = 36 years
Sum of ages of A, B and C, now = (22 x 3) = 66 years
Sum of ages of A and B, now = (36 + 6) years = 42 years
∴ C's present age = (66 - 42) years = 24 years
- Pushpa is twice as old as Rita was two years ago. If the difference between their ages be 2 years, how old is pushpa today ?
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Let Rita's age of 2 years ago be x years.
∴ Pushpa's present age = 2x years
⇒ 2x - (x + 2) = 2Correct Option: B
Let Rita's age of 2 years ago be x years.
∴ Pushpa's present age = 2x years
⇒ 2x - (x + 2) = 2
⇒ x = 4
∵ Pushpa's present age = 8 years.
- Five years ago Vinay's age was one-third of the age of Vikas and now Vinay's age is 17 years. What is the present age of Vikas ?
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Let the present age of the Vikas be x years. Then,
17 - 5 = (x - 5)/3Correct Option: C
Let the present age of the Vikas be x years. Then,
17 - 5 = (x - 5)/3
⇒ x - 5 = 36
∴ x = 41 years
- The age of a man is 4 times that of his son. Five years ago, the man was nine times as old as his son was at that time. The present age of the man is ?
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Let the son's be x years, then father's age = 4x years
∴ (4x - 5) = 9(x - 5)Correct Option: B
Let the son's be x years, then father's age = 4x years
∴ (4x - 5) = 9(x - 5)
⇒ 5x = 40
⇒ x = 8
∴ Present age of the man = 32 years