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The ratio of the present ages of Monu and Sony is 3 : 4. The ratio of the age of Monu 5 years ago and that of Sonu 5 years hence is 2 : 5. Find Monu‘s
Question

The ratio of the present ages of Monu and Sony is 3 : 4. The ratio of the age of Monu 5 years ago and that of Sonu 5 years hence is 2 : 5. Find Monu‘s present age.

A.

15 years

B.

18 years

C.

20 years


D.

66 years

Correct option is A

Given:
Ratio of Monu's and Sonu's present ages = 3:4
Ratio of Monu’s age 5 year ago to Sonu’s age 5 years hence = 2:5

Solution:
Let Monu’s present age = 3x, Sonu’s present age = 4x
From the condition:

3x54x+5=25\frac{3x - 5}{4x + 5} = \frac{2}{5}​​

5(3x - 5) = 2(4x + 5)

15x - 25 = 8x + 10

7x=35 x=57x = 35 \\ \ \\ x = 5  

Thus, Monu's age = 3×5\times 5  = 15 years

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