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Question Detail
Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago.
- 11:50
- 11:51
- 11:53
- 11:54
Answer: Option C
Explanation:
Let, Tanya age 16 years ago = x,
Grandfather's age 16 years ago = 8x.
8 years from now, 3(x+16+8) = (8x+16+8)
=> x = 48/5
8 years ago ratio was:
\begin{aligned}
=> \frac{x+8}{8x+8} = \frac{\frac{48}{5}+8}{8 \times \frac{48}{5}+8}
\end{aligned}
\begin{aligned}
=> \frac{88}{424} = \frac{11}{53}
\end{aligned}
1. Which of following statements are required to answer the Actual age of Abhinav ?
1. Five years ago, Abhinav's age was double that of his son's age at that time.
2. Present ages of Abhinav and his son are in the ratio of 11 : 6 respectively.
3. Five years hence, the respective ratio of Abhinav age and his son's age will become 12 : 7.
- 1 and 3
- 2 and 3
- Any two of three
- None of three
Answer: Option C
Explanation:
From 2nd we get, Present ages of Abhinav and his son is 11x and 6x,
From 1st we get, Abhinav's present age = 2 * Son's age
From 3rd we get, 5 years hence, Abhinav age / Son's age = 12 / 7
From clearly we can get Abhinav age from any of two equations.
2. In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is
- 35
- 37
- 39
- 41
Answer: Option C
Explanation:
Let B's age = x years.
Then, As age = (x+ 9) years.
(x+9+10)=2(x—10)
hence x=39.
Present age of B = 39 years
3. Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 26 years. What is Deepak present age.
- 14
- 15
- 20
- 22
Answer: Option B
Explanation:
Present age is 4x and 3x,
=> 4x + 6 = 26 => x = 5
So Deepak age is = 3(5) = 15
4. Total of the ages of A, B ahd C at present is 90 years. Ten years ago, the ratio of their ages was 1: 2: 3. What is the age of B at present
- 25
- 30
- 45
- 60
Answer: Option B
Explanation:
Let their ages 10 years ago is x, 2x and 3x years.
10 + 2x + 10 + 3x + 10 = 90 hence x= 10
B’s present age = (2x + 10) =30 years
5. A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present
- 38
- 40
- 42
- 44
Answer: Option B
Explanation:
Let the mother's present age be x years.
Then, the person's present age = (2/5 x) years.
=> (2/5 x + 8/2) = 1 (x + 8)
=> 2(2x + 40) = 5(x + 8)
=> x = 40
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