Question

2 subtracted form 1/4th of a number gives 1 ?

Answer 1

Question :-

• 2 subtracted from 1/4th of a number gives 1. Find the number.

Answer :-

• The number is 12.

To find :-

• The number.

Solution :-

• Let the number be "x".

Then :-

• $\sf \dfrac{1}{4} \: th \: of \: the \: number = \dfrac{1}{4} x$

It is given that :-

• 2 subtracted from 1/4th of a number gives 1.

Therefore,

$: \longmapsto \tt\dfrac{1}{4} x - 2 = 1$

$: \longmapsto \tt\dfrac{x}{4} - 2 = 1$

$: \longmapsto\tt \dfrac{x \times 1 - 2 \times 4}{4} = 1$

$: \longmapsto\tt\dfrac{x - 8}{4} = 1$

$: \longmapsto\tt x - 8 = 1 \times 4$

$: \longmapsto\tt x - 8 = 4$

$: \longmapsto\tt x = 4 + 8$

$: \longmapsto\tt x = 12$

Hence :-

• The number is 12.

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V E R I F I C A T I O N

• To check our answer, let's put 12 in the place of x and see whether LHS = RHS.

LHS

$\hookrightarrow\bf \dfrac{1}{4} \times 12 - 2$

$\hookrightarrow \bf\dfrac{1}{1} \times 3 - 2$

$\hookrightarrow\bf1 \times 3 - 2$

$\hookrightarrow\bf3 - 2$

$\hookrightarrow\bf1$

RHS

$\hookrightarrow\bf1$

LHS = RHS.

Hence verified!

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