Five years ago the ratio of the ages of Omkar and Nitin was 8 7 Three years hence the ratio of their...........

Quant (SSC) Problems based on Ages

Five years ago the ratio of the ages of Omkar and Nitin was 8 : 7. Three years hence, the ratio of their ages will be 12 : 11. what is Nitin's age at present?

12 years

15 years

18 years

19 years

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Explanation:

Let the age of Omkar and Nitin five years ago 8x and 7x respectively.
Omkar's present age = (8x + 5)
Nitin's present age = (7x + 5)
Now, as per the equ.
then, (8x + 5) + 3 /(7x + 5) + 3
= 12 /11
⇒ (8x + 5) /(7x + 5) = 12 /11
On cross multiplication, we get
⇒ 88x + 88 = 84x + 96
⇒ 4x = 8 ⇒ x = 2.
∴ Nitin's present age = (7x + 5) = (7 × 2 + 5) = 19 years.