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SBI PO 06 May 2017 Papers
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© examsnet.com
Question : 42
Total: 100
The present age of B is three years more than half of A’s age six years ago. The respective ratio between A’s age nine years ago and B’s age six years ago is 9 : 4. What is B’s present age ?
14 years
32 years
19 years
22 years
18 years
Validate
Solution:
Let A’s present age be x years.
∴ B’s present age
=
(
x
−
6
2
+
3
)
years
=
(
x
−
6
+
6
2
)
years
=
x
2
years
According to the question,
x
−
9
x
2
−
6
=
9
4
⇒
x
−
9
x
−
12
=
9
8
⇒ 9x – 108 = 8x – 72
⇒ 9x – 8x = 108 – 72
⇒ x = 36
∴ B’s present age =
36
2
= 18 years
© examsnet.com
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