Question

Sum of two rational numbers is -2/3 , one of themojis is -4 find other number

Answer 1

$\sf{\huge{\underline{\green{Given :-}}}}$

• The sum of two rational numbers is -2/3 .

• One of the number is -4 .

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• The Other number .

$\sf{\huge{\underline{\green{Answer :-}}}}$

Let the other number be x,

According to the question,

The sum of two rational numbers is -2/3 .

One of the number is -4 .

x + (-4) = -2/3

➝ x - 4 = -2/3

➝ x = -2/3 + 4

➝ x = -2/3 + 12/3

➝ x = 10/3

$\sf{\huge{\underline{\green{Verification :-}}}}$

x + (-4) = -2/3

➝ x - 4 = -2/3

➝ 10/3 - 4 = -2/3

➝ 10/3 - 12/3 = -2/3

➝ -2/3 = -2/3

Answer 2

❍ Let the other number be x.

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Given :

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• $\sf{Two\:Rational\:Numbers\:=\:{\dfrac{-2}{3}}}$

• $\sf{One\:of\:the\:number\:is\:=\:-4}$

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$\underline{\bigstar\:\boldsymbol{According \;to \;the\: given \;Question\; :}}$

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{x\:+\:(-4)\:=\:{\dfrac{-2}{3}}}$

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{x\:-\:4\:=\:{\dfrac{-2}{3}}}$

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{x\:=\:{\dfrac{-2}{3}}\:+\:4}$

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{x\:=\:{\dfrac{-2\:+\:12}{3}}}$

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$\:\:\:\:\:\:\:\dashrightarrow\:\sf{x\:=\:{\dfrac{-10}{3}}}$

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$\:\:\:\:\therefore\:{\underline{\sf{Hence,\:the\:other\:number\:is\:{ \sf{\bf{\dfrac{-10}{3}}}}}}}.$

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V E R I F I C A T I O N :

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• $\sf{x\:+\:(-4)\:=\:{\dfrac{-2}{3}}}$

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$\:\:\:\:\:\:\:\:\:\:\succcurlyeq\:\sf{x\:-\:4\:=\:{\dfrac{-2}{3}}}$

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$\:\:\:\:\:\:\:\:\:\:\:\:\:\succcurlyeq\:\sf{\dfrac{10}{3}}\:-\:4\:=\:{\dfrac{-2}{3}}$

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$\:\:\:\:\:\:\:\:\succcurlyeq\:\sf{\dfrac{10}{3}}\:-\:{\dfrac{12}{3}}\:=\:{\dfrac{-2}{3}}$

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$\:\:\:\:\:\:\:\:\:\:\:\:\succcurlyeq\:\sf{\dfrac{-2}{3}}\:=\:{\dfrac{-2}{3}}$

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$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\bigstar\:{\underline{\boxed{\mathbf{\mathsf{\pink{Hence,\:Verified!!}}}}}}\:\bigstar$

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