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Mathematics

The sum of two rational numbers is -3. If one of the numbers is −75\dfrac{-7}{5}, then the other number is

  1. −85\dfrac{-8}{5}

  2. 85\dfrac{8}{5}

  3. −65\dfrac{-6}{5}

  4. 65\dfrac{6}{5}

Rational Numbers

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Answer

Let the other rational number be xx.

As the sum of the two rational numbers is -3,

⇒−75+x=−3⇒x=−3−(−75)⇒x=−3+75⇒x=(−3)×5+75⇒x=−15+75=−85\Rightarrow \dfrac{-7}{5} + x = -3 \\[1em] \Rightarrow x = -3 - \left(\dfrac{-7}{5}\right) \\[1em] \Rightarrow x = -3 + \dfrac{7}{5} \\[1em] \Rightarrow x = \dfrac{(-3) \times 5 + 7}{5} \\[1em] \Rightarrow x = \dfrac{-15 + 7}{5} = \dfrac{-8}{5}

Hence, Option 1 is the correct option.

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