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- Question
Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ?
Options- A. E = 15 & Y = 3
- B. E = 14 & Y = 12
- C. E = 40 & Y = 22
- D. E = 4 & Y = 2
- Correct Answer
- E = 4 & Y = 2
ExplanationLet the the age of the elder boy = E
Let the the age of the younger boy = Y
Given that Y = cube root of EY
=> = EY => E = .....(1)
By the condition of number replacement the age of the father is YEThe Mother's age = EY/2
But she is 3 years less than father => EY/2 + 3 = YE
2YE = EY + 6 ......(2)Then now from the given options we can identify which satisfies the all the conditions.
Here Y =2 and E = 4 satisfies all the conditions.
- 1. On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ?
Options- A. 84 years
- B. 72 years
- C. 82 years
- D. 64 years Discuss
- 2. The ratio of Karthik?s and Kalyan?s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan?
Options- A. 56 years
- B. 62 years
- C. 69 years
- D. 72 years Discuss
- 3. Ten years ago, Kumar was thrice as old as Sailesh was but 10 years hence, he will be only twice as old. Find Kumar?s present age ?
Options- A. 50 years
- B. 70 years
- C. 60 years
- D. 40 years Discuss
- 4. The average age of husband, wife and their child 3 years ago was 24 years and that of wife and child 5 years ago was 25 years. The present age of the husband is:
Options- A. 21 yrs
- B. 27 yrs
- C. 29 yrs
- D. 31 yrs Discuss
- 5. Priya?s age was cube of an integral number (different from 1) four years ago and square of an integral number after four years. How long should she wait so that her age becomes square of a number in the previous year and cube of a number in the next year?
Options- A. 7 years
- B. 12 years
- C. 14 years
- D. 21 years Discuss
- 6. Rajitha's present age is three years less than twice her age 12 years ago. Also, the ratio of Raj's present age to Rajitha's present age is 4:9. What will be Raj's age after 5 years ?
Options- A. 17 yrs
- B. 16 yrs
- C. 19 yrs
- D. 21 yrs Discuss
- 7. Rajan's present age is three times his daughter's and nine-thirteenth of his mother's present age. The sum of the present ages of all three of them is 125 years. What is the difference between the present ages of Rajan's daughter and Rajan's mather ?
Options- A. 32 years
- B. 48 years
- C. 62 years
- D. 50 years Discuss
- 8. 12 year old Manish is three times as old as his brother Rajeev. How old will Manish be when he is twice as old as Rajeev ?
Options- A. 12 yrs
- B. 14 yrs
- C. 16 yrs
- D. 18 yrs Discuss
- 9. The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age og the youngest child ?
Options- A. 8 yrs
- B. 16 yrs
- C. 6 yrs
- D. 4 yrs Discuss
- 10. At present, the ratio between the ages of Arun and Harish is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Harish at present ?
Options- A. 15 years
- B. 16 years
- C. 18 years
- D. 21 years Discuss
Problems on Ages
Search Results
Correct Answer: 84 years
Explanation:
Let the age of ruler is x so that of son = x/2 (given)
Now according to the given condition
(x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x
=> x = 84
Correct Answer: 72 years
Explanation:
Let us consider Karthik as K1 and Kalyan as K2.
Given
and K2 - (K1 + 5) = 3
K2 - K1 = 8
K2 = 8 + K1
Now,
=> K1 = 32 years
Therefore K2 = 40 years.
K1 + K2 = 72 years.
Correct Answer: 70 years
Explanation:
Let Kumar?s present age be "x" years and Sailesh?s present age be "y" years.
Then, according to the first condition,
x - 10 = 3(y - 10) => x - 3y = - 20 ........(1)
Now, Kumar?s age after 10 years = (x + 10) years.
Sailesh?s age after 10 years = (y + 10) years.
(x + 10) = 2 (y + 10) => x - 2y = 10 ......(2)
Solving (1) and (2),
we get x = 70 and y = 30
Kumar?s present age = 70 years and Sailesh?s present age = 30 years.
Correct Answer: 21 yrs
Explanation:
Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years
Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years
Age of husband = 81 - 60 = 21 years.
Correct Answer: 14 years
Correct Answer: 17 yrs
Explanation:
Let the present age of Raj and Rajitha be 4x and 9x.
Then, according to question,
9x = 2(9x-12)-3 => 9x = 27 => x = 3
Raj's present age = 4x = 12yrs,
After 5 years Raj's age will be 12 + 5 = 17 yrs.
Correct Answer: 50 years
Explanation:
Let Rajan's present age be 'x' years.
=> Then his daughter's present age is = x/3 years.
His mother's present age = 13x/9 years
Now, according to the question,
x + x/3 + 13x/9 = 125
=> x = 125x9/25 = 45
Therefore, required difference = 13x/9 - x/3 = 13x - 3x/9 = 10x/9
=> 10 x 45/9 = 50 years.
Correct Answer: 16 yrs
Explanation:
12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.
Diff in ages = 8 years.
when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.
Correct Answer: 4 yrs
Explanation:
Let the age of the youngest child is 'X' years.
Then the child elder than the yongest is 'X + 3' yrs
Since each have 3yrs difference upto 5 children
And given that
=> X + X+3 + X+6 + X+9 + X+12 = 50
=> 5X + 30 = 50
=> X = 4 yrs.
Correct Answer: 15 years
Explanation:
Let the present ages of Arun and Harish be 4x and 3x years respectively.
Then, 4x + 6 = 26 => x = 5
Harish's age = 3x = 15 years.
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