Question

the sum of two number is minus 23 upon 9 if one of the number is 5.9 what is the other number​

Answer 1

Let the other number be x.

Then,

$5.9 + x = \frac{23}{9} \\ \\ x = \frac{23}{9} - 5.9 \\ \\ x = \frac{23}{9} - \frac{59}{10} \\ \\ x = \frac{230 - 531}{90} \\ \\ x = \frac{ - 301}{90} \: answer$

Answer 2

Answer :-

• The other number is-761/90.

To find :-

• The other number.

Step-by-step explanation :-

Let the other rational number be "x".

Given that :-

• The sum of the two numbers is -23/9.

Therefore,

$\dashrightarrow \tt5.9 + x = \dfrac{ - 23}{ \: \: \: \: 9}$

Converting 5.9 into fraction,

$\dashrightarrow\tt \dfrac{59}{10} + x = \dfrac{ - 23}{ \: \: \: \: 9}$

$\dashrightarrow\tt x = \dfrac{ - 23}{ \: \: \: \: 9} - \dfrac{59}{10}$

$\dashrightarrow\tt x = \dfrac{ (- 23 \times 10) - (59 \times 9)}{90}$

$\dashrightarrow \tt x = \dfrac{ - 230 - 531}{90}$

$\dashrightarrow\tt x = \dfrac{ - 761}{ \: \: \: 90}$

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

• To check our answer, let's add up -761/90 and 5.9 and see whether we get -23/9.

$\dashrightarrow\sf5.9 + \dfrac{ - 761}{ \: \: \: \: 90}$

Converting 5.9 into fraction,

$\dashrightarrow\sf\dfrac{59}{10} + \dfrac{ - 761}{ \: \: \: 90}$

$\dashrightarrow\sf\dfrac{(59 \times 9) + ( - 761 \times 1)}{90}$

$\dashrightarrow\sf\dfrac{531 - 761}{90}$

$\dashrightarrow \sf\dfrac{ - 230}{ \: \: \: \: 90}$

Cutting off the zeroes,

$\dashrightarrow \sf \dfrac{ - 23}{ \: \: \: 9}$

LHS = RHS.

Hence verified!

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