Question

The sum of two rational number is 17/30,if one of rational number is-9/10 then find out other rational number​

Answer 1

Answer:

22/15 or 44/30

Step-by-step explanation:

let the rational no. be x.

wkt:

-9/10 + x = 17/30

x=17/30 + 9/10. (-9/10 becomes +9/10 because of the transposition method)

x = 17/30 + 27/30

(LCM of rational numbers =30)

x= 44/30= 22/15

Therefore x=22/15

Answer 2

$\huge{\boxed{\sf{Given:-}}}$

The sum of two rational number is $\frac{7}{30}$

One of rational number is $\frac{-9}{10}$

$\huge{\boxed{\sf{To\ be\ found:}}}$

The another number

Let, the number be 'p'

Now,

According to the question, The sum of the numbers is $\frac{7}{30}$.

So,

$\implies \rm p + \dfrac{-9}{10} = \dfrac{17}{30} \\ \\ \\ \implies \rm p = \dfrac{17}{30} - \big(\dfrac{-9}{10}\big) \\ \\\\ \big[Taking\ \dfrac{-9}{10}\ to\ RHS\big]\\\\ \\ \implies \rm p = \dfrac{17}{30}+\dfrac{9}{10} \\ \\\\ \implies \rm p = \dfrac{17+27}{30} \\ \\\\ \implies \rm p = \dfrac{44}{30} \\ \\ \\ \big[ divide\ both\ numerator\ and\ denominator\ by\ 2\big] \\ \\ \\ \implies \rm p = \dfrac{22}{15}$

So,

Another number = p = $\frac{22}{15}$

Check:-

$\sf p + \dfrac{-9}{10} = or \neq \dfrac{17}{30}$

Putting the value of p

$= \dfrac{22}{15} + \big(\dfrac{-9}{10}\big) \\ \\\\ = \dfrac{22}{15} - \dfrac{-9}{10} \\ \\ \\ = \dfrac{44-27}{30} \\ \\ \\ \big[Taking\ LCM = 30 \big] \\ \\ \\ = \dfrac{17}{30}$

Hence checked.