Question

one -sixth of a certain number is 10.find number​

Answer 1

Answer :-

• The required number is 60.

To find :-

• The number.

Step-by-step explanation :-

• Let the number be x.

Then,

• $\rm One\!-\!sixth \: of \: the \: number = \dfrac{1}{6} \: x$

It has been given that :-

• One-sixth of the number is 10.

Therefore,

$\longmapsto\sf\dfrac{1}{6} x = 10$

$\longmapsto\sf x = 10 \div \dfrac{1}{6}$

$\longmapsto\sf x = 10 \times \dfrac{6}{1}$

$\longmapsto\sf x = \dfrac{60}{1}$

$\longmapsto\underline{ \boxed{\sf x = 60}}$

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

• To check our answer, let's put 60 in the place of x and see whether LHS = RHS.

LHS

$\longrightarrow\rm \dfrac{1}{6} x$

$\longrightarrow\rm \dfrac{1}{6} \times 60$

$\longrightarrow\rm \dfrac{1}{1} \times 10$

$\longrightarrow\rm \dfrac{10}{1}$

$\longrightarrow\rm 10$

RHS

$\longrightarrow\rm 10$

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LHS = RHS.

Hence verified!