Math, asked by Anonymous, 9 months ago

sum of two rational numbers is 5/8.if one of the numbers is 1/8,find the other.

Answers

Answered by sethrollins13
7

✯✯ QUESTION ✯✯

Sum of two rational numbers is 5/8.If one of the numbers is 1/8,find the other.

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✰✰ ANSWER ✰✰

\longmapsto\tt{Given\:Number=\dfrac{1}{8}}

\longmapsto\tt{Let\:other\:Number=x}

\longmapsto\tt{Sum\:of\:Numbers=\dfrac{5}{8}}

A.T.Q : -

\longmapsto\tt{\dfrac{5}{8}+x=\dfrac{1}{8}}

\longmapsto\tt{x=\dfrac{1}{8}-\dfrac{5}{8}}

\longmapsto\tt{x=\dfrac{1-5}{8}}

\longmapsto\tt{x=\cancel\dfrac{-4}{8}}

\red\longmapsto\:\large\underline{\boxed{\bf\green{x}\orange{=}\purple{\dfrac{-1}{2}}}}

_______________________

VERIFICATION : -

\longmapsto\tt{\dfrac{5}{8}+\bigg(\dfrac{-1}{2}\bigg)=\dfrac{1}{8}}

\longmapsto\tt{\dfrac{5}{8}-\dfrac{1}{2}=\dfrac{1}{8}}

\longmapsto\tt{\dfrac{5-4}{8}=\dfrac{1}{8}}

\longmapsto\tt{\dfrac{1}{8}=\dfrac{1}{8}}

\purple\longmapsto\:\large\underline{\boxed{\bf\pink{L.H.S}\green{=}\red{R.H.S}}}

HENCE VERIFIED

Answered by Anonymous
10

Given ,

The sum of two rational number is 5/8 and one of the number is 1/8

Let , the other number be " x "

According to the question ,

\Rightarrow \sf \frac{1}{8}  + x =  \frac{5}{8}  \\  \\\Rightarrow \sf x =  \frac{5}{8}  -  \frac{1}{8}   \\  \\\Rightarrow \sf x =   \frac{5 - 1}{8}  \\  \\\Rightarrow \sf x =  \frac{ \cancel4}{ \cancel8}  \\  \\\Rightarrow \sf  x =  \frac{1}{2}

 \therefore \sf \bold{ \underline{The \:  other  \: number \:  is   \: \frac{1}{2} }}

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