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

User Ndkrempel
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2 Answers

2 votes

◇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 (5* 2)/(9+a)= 1\\ \\ \\ :\implies\sf (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}}}}

User Yordan Borisov
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7.7k points
3 votes
Answer: 1

Step-by-step 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
User Oronde
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