The sum of two rational numbers is $-8$. If one of the numbers is $−\frac{15}{7}$ find the other.

Given:

The sum of two numbers is $-8$.

One of the numbers is $-\frac{15}{7}$.

To do:

We have to find the other number.

Solution:

Let the other number be $x$.

This implies,

$-\frac{15}{7}+x=-8$

$x=-8-(-\frac{15}{7})$

$x=-8+\frac{15}{7}$

$x=\frac{-8\times7+15\times1}{7}$

$x=\frac{-56+15}{7}$

$x=\frac{-41}{7}$

Therefore, the other number is $\frac{-41}{7}$.   

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Updated on: 10-Oct-2022

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