Question

If the denominator of 5/9 is increased by a number and the numerator is doubled, the result is 1. Find the number.

Answer 1

Answer: 1

Explanation:

The numerator is doubled, so the fractions looks like 10/9. To make it one, it must be 10/10 and 9+1=10

Answer 2

◇Given :-

The denominator of a fraction is increased by a number and numerator will be doubled

To find

We have to find the required number or fraction

$\underline{\bigstar{\sf\ \ Solution:-}}$

Now let us consided as the number be a

Then

$\underline{\bigstar{\textit\ According\ to \ Question:-}}$

The given fraction is 5/9

$:\implies\sf \dfrac{5\times 2}{9+a}= 1\\ \\ \\ :\implies\sf \dfrac{10}{9+a}=1\\ \\ \\ :\implies\sf 10= 1(9+a)\\ \\ \\ :\implies\sf 10-9=a\\ \\ \\ :\implies\sf 1=a$

$\underline{\therefore{\textit{\textbf { The \ required \ number \ is \ 1}}}}$