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Question Detail
Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7:9, find the age of Sachin
- 23.5
- 24.5
- 12.5
- 14.5
Answer: Option B
Explanation:
If Rahul age is x, then Sachin age is x-7,
so (x-7)/x = 7/9
=> 9x-63 = 7x
=> 2x = 63
=> x = 31.5
So Sachin age is 31.5 - 7 = 24.5
1. The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
- 20,20
- 20,10
- 25,15
- 30,10
Answer: Option D
Explanation:
Let their ages be x and (x + 20) years.
5 (x - 5) = (x + 20 - 5) or 4x = 40 or x = 10.
Their present ages are 30 years and 10 years
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. 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}
4. 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
5. Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
- 15
- 14
- 10
- 8
Answer: Option C
Explanation:
Clearly,
x+15 = 5(x-5)
<=> 4x = 40 => x = 10
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