Question

One fifth of a number increased by 5 is equal to 4 less than one fourth of that number.

Find the number.

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Answer 1

${\large{\mathfrak{\blue{\underline{\red{Solution:}}}}}}$

Let

• The number = x

Now , according to the given statement

$\pink{\rightarrow}$ $\dfrac{1}{5}x + 5 = \dfrac{1}{4} - 4$

$\pink{\rightarrow}$ $\dfrac{x}{5} - \dfrac{x}{4} = -4 - 5$

$\pink{\rightarrow}$ $\dfrac{4x - 5x}{20} = -9$

$\pink{\rightarrow}$ $\dfrac{-x}{20} = -9$

$\pink{\rightarrow}$ $\dfrac{x}{20} = 9$

$\pink{\rightarrow}$ $\green{\boxed{x = 180}}$

Hence the value of x is 180