Question

The sum of two rational numbers is-3/7 If one of the number is -9, find the other.​

Answer 1

Given:-

• Sum of two rational number = -3/7

• One of them is -9

To Find:-

• Find other rational number ?

Solution:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀According to the Question

it is given that the sum of two rational number is -3/7 in which one of them is -9 .So ,

Let the other rational number be x

$:\implies$ -9 + x = -3/7

$:\implies$ x = -3/7 +9

$:\implies$ x = -3+63/7

$:\implies$ x = 60/7

$:\implies$ x = 60/7

• Hence, the required rational number is 60/7 .

Let's verify it

$\longrightarrow$ Sum of rational number = -3/7

$\longrightarrow$ -9 + 60/7 = -3/7

$\longrightarrow$ -63+60/7 = -3/7

$\longrightarrow$ -3/7 = -3/7

• , LHS = RHS

Hence, Verified !!

Answer 2

Answer:

The other rational number is $\frac{60}{7}$.

Step-by-step explanation:

Let the other rational number be x.

ATP :

$x\;+\;-9\;=\;-\frac{3}{7}$

Transposing :

$x\;=\;-\frac{3}{7}\;+\;9$

$x\;=\;\frac{-3\times1\;+\;9\times7}{7}$

$x\;=\;\frac{-3\;+\;63}{7}$

$x\;=\;\frac{60}{7}$

∴ The other rational number is $\frac{60}{7}$.