Question

the ratio of present ages of Amar and Akbar is 6:7. 5 years ago sum of their ages was 75 find their present age

Answer 1

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Answer 2

Solution:

Present age of Amar is 39.2 years

Present age of Akbar is 45.8 years.

Explanation:

Let us suppose the present age of Amar is x and that of Akbar is y.

Now, we have been given that the ratio of present ages of Amar and Akbar is 6:7. Thus, we have

$\frac{x}{y} =\frac{6}{7} \\\\x=\frac{6}{7} y$

Now, we have given that 5 years ago sum of their ages was 75. Hence, we have the equation

$x-5+y-5=75\\\\x+y=85$

On substituting the value of x, we get

$\frac{6}{7} y+y=85\\\\y=\frac{595}{13}\approx 45.8\\\\\text{Thus, the value of x is}\\\\x=\frac{6}{7} \times \frac{595}{13}\\\\x=\frac{510}{13}\approx 39.2$

Therefore, we have

Present age of Amar is 39.2 years

Present age of Akabar is 45.8 years.