Question

Bharathis 30 yearsold and sheath is40 years-old.how many years ago was the ratio of theirages 5:7

Answer 1

Given:

Bharath is 30 years old and Sharath is 40 years-old

To find:

How many years ago was the ratio of their ages 5:7?

Solution:

Let's assume "x" years ago the ratio of Bharat's and Sharath's ages was 5:7.

So,

x years ago:

Bharat's age was = (30 - x) years

and

Sharat's age was = (40 - x) years

Therefore, according to the question, we can form an equation as:

$\frac{30 \:-\:x}{40\:-\:x} = \frac{5}{7}$

$\implies 7 (30 - x) = 5 (40 - x)$

$\implies 210 - 7x = 200 - 5x$

$\implies 210 - 200 = 7x - 5x$

$\implies 2x = 10$

$\implies x = \frac{10}{2}$

$\implies \bold{x = 5\:years}$

Thus, 5 years ago the ratio of the ages of Bharat and Sharat was 5:7.

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