If a/b is a fraction, where a = b - 3 and (a + 10)/b – a/b = 10/7, then find a/b.

Correct option is A

Given:

a = b - 3

​$$\frac{(a + 10)}{b} - \frac{a}{b} = \frac{10}{7}$$​​

Solution:

​$$\frac{(a + 10)}{b} - \frac{a}{b} = \frac{10}{7}$$​​

So, the equation becomes:

​$$\frac{10}{b} = \frac{10}{7}$$​​

b = 7

Now, substitute b = 7 into a = b - 3:

a = 7 - 3 = 4

Thus, $$\frac{a}{b} = \frac{4}{7}$$​​

Therefore, the value of $$\frac{a}{b} is \frac{4}{7}.$$​​