# What number is that of which the third part exceeds the fifth part by 4?

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What number is that of which the third part exceeds the fifth part by 4?

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Let the number be ‘x’ say.

$\frac13$rd of a number =$\frac13$ x x = $\frac x3$

$\frac 15$th of a number = $\frac 15$ x x = $\frac x5$

According to the sum

∴ The required number is 30.