Question

the sum of two rational number is -4.If one of them is -11/5,find the other.​

Answer 1

$\large\sf\underline{Given}$

• Sum of two rational number = -4 .

• One of the number = $\sf\:\frac{-11}{5}$

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$\large\sf\underline{To\:find}$

• The other number .

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$\large\sf\underline{Solution}$

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Let the required number be x .

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According to the question :

$\sf\:x+(\frac{-11}{5})=-4$

$\sf➞\:x-\frac{11}{5}=-4$

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• LCM of 1 and 5

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$\sf➞\:\frac{5x-11}{5}=-4$

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• Cross multiplying

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$\sf➞\:5x-11=-4 \times 5$

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$\sf➞\:5x-11=-20$

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$\sf➞\:5x=-20+11$

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$\sf➞\:5x=-9$

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$\small{\underline{\boxed{\mathrm\pink{➞\:x=\frac{-9}{5}}}}}$

$\dag\:\underline{\sf So\:the\:other\:number\:is\: found\:to\:be \:\frac{-9}{5}.}$

⠀⠀⠀⠀⠀─━━━━━━━━━━━━─

$\small\rm\purple\star\:\underline{Verification\:of\:my\:answer}$

$\sf\:\frac{-9}{5}+(\frac{-11}{5})=-4$

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$\sf➻\:\frac{-9}{5}-\frac{11}{5}=-4$

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$\sf➻\:\frac{-9-11}{5}=-4$

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$\sf➻\:\frac{-20}{5}=-4$

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$\sf➻\:-4=-4$

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${\sf{{\pink{[Hence\:Verified]}}}}$

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!! Hope it helps !!