Question

the sum. of two rational numbers is 2/15. if one number is 2/3 , find the other.
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Answer 1

Answer:

-12/15

Step-by-step explanation:

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Answer 2

Answer:

Given :-

• The sum of two rational number is 2/15.
• One number is 2/3.

To Find :-

• What is the other number.

Solution :-

Let,

$\mapsto \bf Other\: Number =\: x$

Given :

• Sum of two numbers = 2/15
• One of the number = 2/3

As we know that :

$\footnotesize \bigstar \: \: \sf\boxed{\bold{\pink{Sum\: of\: two\: numbers =\: One\: Number + Other\: Number}}}\: \: \: \bigstar$

According to the question by using the formula we get,

$\implies \sf \dfrac{2}{3} + x =\: \dfrac{2}{15}$

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

$\implies \sf x =\: \dfrac{2 - 10}{15}$

$\implies \sf x =\: \dfrac{- 8}{15}$

$\implies \sf\bold{\red{x =\: \dfrac{- 8}{15}}}$

$\sf\bold{\underline{\green{\therefore\: The\: other\: number\: is\: \dfrac{- 8}{15}\: .}}}$

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VERIFICATION :-

$\leadsto \bf \dfrac{2}{3} + x =\: \dfrac{2}{15}$

By putting x = - 8/15 we get,

$\leadsto \sf \dfrac{2}{3} + \bigg(\dfrac{- 8}{15}\bigg) =\: \dfrac{2}{15}$

$\leadsto \sf \dfrac{2}{3} + \dfrac{- 8}{15} =\: \dfrac{2}{15}$

$\leadsto \sf \dfrac{10 + (- 8)}{15} =\: \dfrac{2}{15}$

$\leadsto \sf \dfrac{10 - 8}{15} =\: \dfrac{2}{15}$

$\leadsto \sf\bold{\purple{\dfrac{2}{15} =\: \dfrac{2}{15}}}$

$\leadsto \bf L.H.S =\: R.H.S$

HENCE VERIFIED !

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