Question

If one third of a number exceeds its one fourth by 1 . Find the number​

Answer 1

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Answer 2

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Fractions

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one third of a number exceeds its one fourth by 1. Find the number

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According to the statement ,

Let the number be x

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One third of a number exceeds its one fourth by one .

$\mapsto\:\huge\dfrac{x}{3}\:=\:\huge\dfrac{x}{4}\:+\:1$

$\\\:$

This statement can also be written like :

The difference of one third and one fourth of a number gives us one .

Therefore ,

We have $\hookrightarrow \:\huge\dfrac{x}{3}\:-\:\huge\dfrac{x}{4}\:=\:1$

$\\\:$

$\hookrightarrow\:\huge\dfrac{4x\:-\:3x}{12}\:=\:1$

$\\\:$

$\hookrightarrow\huge\:4x\:-\:3x\:=\:1\:\times\:12$

$\\\:$

$\hookrightarrow\huge\:x\:=\:12$

$\\\:$

So , hence the required number is 12 .

Hope it helps you dear :)