Question

when 1/3 is subtracted from a number
and the difference is multiplied by 4,the
result is 28 .find the number​

Answer 1

Answer:

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Answer 2

Therequirednumber=

3

22

Step-by-step explanation:

Let the number be 'x'

\begin{gathered}If \: \frac{1}{3} \: is \: Subtracted\\ \: from \: x \:and\: < /p > < p > the\: difference\\ \:is \:multiplied \: by \: 4 = 28\end{gathered}

If

3

1

isSubtracted

fromxand</p><p>thedifference

ismultipliedby4=28

4(x-\frac{1}{3})=284(x−

3

1

)=28

\implies x-\frac{1}{3}=\frac{28}{4}⟹x−

3

1

=

4

28

\implies x-\frac{1}{3}=7⟹x−

3

1

=7

\implies x = 7 + \frac{1}{3}⟹x=7+

3

1

\begin{gathered}\implies x = \frac{21+1}{3}\\=\frac{22}{3}\end{gathered}

⟹x=

3

21+1

=

3

22

Therefore,

The\: required \: number=\frac{22}{3}Therequirednumber=

3

22