Nishu and Vijay are in the ratio 6: 5. After 9 years :

Presently, ages of Nishu and Vijay are in the ratio 6: 5. After 9 years, this ratio will be 9: 8. What is the difference in their ages presently?
(a) 3 years
(b) 5 years
(c) 7 years
(d) 9 years

Anurag Mishra Professor Asked on 31st March 2016 in General Knowledge.
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1 Answer(s)

Answer: (a) 3 years

Solution:-
Preesntly, ages of Nishu and Vijay are in the ratio 6: 5.
Let the age of Nishu and Vijaya be 6 X and 5 X.

After 9 years, this years, this ratio will be 9: 8.
Then, (6 X + 9)/(5 X + 9) = 9/8
By cross multiplication,
8 (6 X + 9) = 9 (5 X + 9)
48 X + 72 = 45 X + 81
48 X – 45 X = 81 – 72
3 X = 9
X = 9/3
X = 3
Then, persent ages of Nishu and Vijay = 6 x 3 = 18 years & 5 x 3 = 15 years
So, the difference between in their ages presently = 18 – 15
= 3 years.

Hence, the correct answer is option (a) 3 years.

Anurag Mishra Professor Answered on 1st April 2016.
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