Question

Hitesh is 40 years old and Ronnie is 60 years old. How manny years ago was the ratio of their ages 3 : 5?

Answer 1

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Answer 2

Answer:

The correct answer will be -

10 years ago the age of Hitesh and Ronnie was in a ratio of 3:5.

Step-by-step explanation:

Given that,

Age of Hitesh in present = 40 years old

Age of Ronnie in present = 60 years old

Now question asks that some years ago let be x the age of Hitesh and Ronnie were in the ratio of 3:5.

So,

Age of Hitesh x years ago will be = 40 - x

Age of Ronnie x years ago will be = 60 - x

Now the Ratio should be 3:5.

$\frac{40-x}{60-x} = \frac{3}{5}\\ \\5(40-x) = 3(60-x)\\\\200-5x=180-3x\\\\2x = 20\\\\x = 10$

So, we got the value of x is 10. So, 10 years ago the age of Hitesh and Ronnie was in a ratio of 3:5.

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