Question

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

Answer 1

✯✯ 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 : -

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

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

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

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

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

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➮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 ✺

Answer 2

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 ,

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

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