When 1/3 Is subtracted from the number and the difference is multiplied by four the result is 28 find the number
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Step-by-step explanation:
Answer:
The\: required \: number=\frac{22}{3}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
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