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- Question
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
- Correct Answer
- 70 years
ExplanationLet 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.
- 1. 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
- 2. 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
- 3. When Ram was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Ram's brother is 6 years older than Ram and his mother is 3 years younger than his father, how old was Ram's sister when Ram was born ?
Options- A. 6 years
- B. 8 years
- C. 10 years
- D. 12 years Discuss
- 4. The ratio of present ages of X and Y is 4:5. Which of the following can't be the ratio of ages of X and Y, 20 years ago ?
Options- A. 2 : 5
- B. 8 : 15
- C. 9 : 10
- D. 3 : 5 Discuss
- 5. Ten years ago, Karan was thrice as old as Shiva was but 10 years hence, he will be only twice as old. Find Shiva?s present age ?
Options- A. 70 years
- B. 30 years
- C. 60 years
- D. 40 years Discuss
- 6. 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
- 7. 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
- 8. 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 Discuss
- 9. 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
- 10. 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
Problems on Ages
Search Results
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: 10 years
Explanation:
Ram age when he was born = 0 years
=> His brother's age = 6 year
=> His father's age = brother age + 32years = 6+32 = 38
=> His mother's age = father's age - 3 = 35
So sister's age = 35-25 = 10years.
Correct Answer: 9 : 10
Explanation:
The ratio of X and Y ages at present is 4:5.
Then, the ratio 20 years ago will not be more than the ratio at present.
So, from the options 9:10 is not satifying => its ratio is 0.9 which is greater than presnt ratio of 0.8.
Correct Answer: 30 years
Explanation:
Let Karan?s present age be x years and Shiva?s present age be y years.
Then, according to the first condition,
x - 10 = 3(y - 10) or x - 3y = - 20 ..(1)
Now, Karan?s age after 10 years = (x + 10) years
Shiva?s age after 10 years = (y + 10)
(x + 10) = 2 (y + 10) or x - 2y = 10 ..(2)
Solving (1) and (2), we get x = 70 and y = 30
Karan?s age = 70 years and Shiva?s age = 30 years.
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: 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: E = 4 & Y = 2
Explanation:
Let 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 YE
The 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.
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.
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