Math, asked by charanaravvind9508, 6 months ago

A number is multiplied by its one—third to get 192.then find the number?

Answers

Answered by pulakmath007
2

The number is - 24 or 24

Given :

A number is multiplied by its one—third to get 192

To find :

The number

Solution :

Step 1 of 2 :

Form the equation to find the number

Let the required number = n

By the given condition

\displaystyle \sf{ n \times  \frac{n}{3}  = 192 }

Step 2 of 2 :

Find the number

\displaystyle \sf{ n \times  \frac{n}{3}  = 192 }

\displaystyle \sf{ \implies  \frac{ {n}^{2} }{3}  =1 92}

\displaystyle \sf{ \implies  {n}^{2} = 3 \times 192 }

\displaystyle \sf{ \implies  {n}^{2} = 576}

\displaystyle \sf{ \implies n =  \pm \:  \sqrt{576} }

\displaystyle \sf{ \implies n =  \pm \: 24}

Hence the required number is - 24 or 24

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Answered by abdulraziq1534
1

Concept Introduction:-

It may be in the form of a word, a symbol, or a figure that reflects the arithmetic value of a quantity.

Given Information:-

We have been given that A number is multiplied by its one—third to get 192.

To Find:-

We have to find that the number.

Solution:-

According to the problem

Let the number be x

\frac{1}{3} \times x=192\\=64

Final Answer:-

The number is 64.

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