Question

The sum of two rational numbers is --5. If one of the numbers is ⅔ . Find the other no.​

Answer 1

Answer :-

• The rational number is -17/3.

To find :-

• The other rational number.

Solution :-

Let the other number be "x".

It is given that :-

• When "x" is added to 2/3, we get -5.

Therefore,

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

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

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

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

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

Hence :-

• The other rational number is -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 and see whether their sum is -5.

Sum of 2/3 and -17/3 :-

$\hookrightarrow\bf \dfrac{2}{3} + \dfrac{ - 17}{ \: \: \: \: 3}$

$\hookrightarrow\bf\dfrac{2 + ( - 17)}{3}$

$\hookrightarrow\bf\dfrac{ - 15}{ \: \: \: \: 3}$

$\hookrightarrow\bf \dfrac{ - 5}{ \: \: \: 1}$

$\hookrightarrow\bf- 5$

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

Hence verified!

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Answer 2

Answer:

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