51:85::57:x find the value of x
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x= 91
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[tex]\large\sf\underline{Given\::}[/tex]
[tex]\large\sf\underline{To\:find\::}[/tex]
[tex]\large\sf\underline{Solution\::}[/tex]
[tex]\sf\:51:85::57:x[/tex]
[tex]\sf\implies\:\frac{51}{85}=\frac{57}{x}[/tex]
[tex]\sf\implies\:51 \times x= 57 \times 85[/tex]
[tex]\sf\implies\:51x= 4845[/tex]
Since [tex]{\sf{{\pink{×}}}}[/tex] sign lies between 51 and x. When we transpose it to the other side it becomes[tex]{\sf{{\pink{÷}}}}[/tex] .
[tex]\sf\implies\:x= \frac{4845}{51}[/tex]
[tex]\large{\mathfrak\red{\implies\:x\:=\:95}}[/tex]
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[tex]\large\sf\underline{Verification\:of\:my\:answer\::}[/tex]
[tex]\sf\:51:85::57:x[/tex]
[tex]\sf\implies\:\frac{51}{85}=\frac{57}{x}[/tex]
[tex]\sf\implies\:\frac{51}{85}=\frac{57}{95}[/tex]
[tex]\sf\implies\:51 \times 95= 57 \times 85[/tex]
[tex]\sf\implies\:4845= 4845[/tex]
[tex]{\sf{{\green{[\:Hence\:Verified\:]}}}}[/tex]
[tex]\dag\:\underline{\sf Value\:of\:x\:=\:95.}[/tex]
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!! Hope it helps !!