Question

A no is divided in to two parts such that one part is 6 more than other part. if the two parts in ratio 6:5 find smaller part ​

Answer 1

Let the one part is x

Another part will be x + 6

Now according to the question,

6:5 = 6/5 so,

$\frac{x + 6}{x } = \frac{6}{5} \\ \\ \implies 5(x + 6) = 6x \\ \\ \\ \implies 5x + 30 = 6x \\ \\ \\ \implies \boxed{x = 30}$

Now, if one smaller number is 30 larger one will be 30+6 = 36.

VERIFICATION :-

If 30 is one part and 36 is other then

30/36 = 5/6 as it is given in the question.

So our answer is error free.