Question

the some of the two rational numbers is -5 if one of the number is 2/3 find the other..​

Answer 1

Answer :-

• The other number is -17/3.

To find :-

• The other rational number.

Step-by-step explanation :-

• It is given that the sumof two rational numbers is -5 and one of the numbers is 2/3. We have to find the other number.

Let :-

• The other number be "x".

Then :-

• The sum of 2/3 and x will be -5.

Therefore,

$\longmapsto \sf\dfrac{2}{3} + x = - 5$

$\sf\longmapsto x = - 5 - \dfrac{2}{3}$

$\sf\longmapsto x = \dfrac{( - 5 \times 3) -(2 \times 1) }{3}$

$\sf\longmapsto x = \dfrac{ - 15 - 2}{3}$

$\sf\longmapsto x = \dfrac{ - 17}{ \: \: \: \: 3}$

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

• To check our answer, let's add 2/3 and -17/3 add see whether their sum is -5.

$\implies\tt\dfrac{2}{3} + \dfrac{ - 17}{ \: \: \: \: 3}$

$\implies\tt\dfrac{2 + ( - 17)}{3}$

$\implies\tt \dfrac{ - 15}{ \: \: \: \: 3}$

$\implies\tt- 5$

The sum of 2/3 and -17/3 is -5.

Hence verified!

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Answer 2

Answer:

Given:-

• The sum of two rational numbers is -5
• One number is 2/3

To find:-

Other number

Solution:-

Let it be x

ATQ

$\\ \tt{:}\Rrightarrow x+\dfrac{2}{3}=-5$

$\\ \tt{:}\Rrightarrow x=-5-\dfrac{2}{3}$

$\\ \tt{:}\Rrightarrow x=\dfrac{-15-2}{3}$

$\\ \tt{:}\Rrightarrow x=\dfrac{-17}{3}$

Thus the other rational number is -17/3.