Question

the ratio of present age of Amar and Akbar is 6:7.5 year ago sum of their ages was 75 find their present age

Answer 1

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Answer 2

Answer:

The present age of Amar is 39.3 years and that of Akbar is 45.8 years.

Step-by-step explanation:

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

Hence, according to the question

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

Now, 5 years ago the age of Amar was x-5 and that of Akar was y -5 . The sum of these ages was 75. Hence, we have

x -5 + y - 5 = 75

x + y = 85

Plugging x = 6/7 y , we get

$\frac{6}{7}y+y=85\\\\\frac{13}{7}y=85\\\\y=85\cdot\frac{7}{13}\\\\y=45.8$

Hence, the value of x is

$x=\frac{6}{7}\cdot45.8\\\\x=39.3$

Hence, the present age of Amar is 39.3 years and that of Akbar is 45.8 years.