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in Number System by (38.9k points)
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The sum of two Rational numbers is 1/2 and one of the numbers is -8/19 then the second number is ……………… 

A) 1/4

B) 3/31

C) 5/58

D) 35/38

2 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (D) 35/38

Let the second number be x.

\(\therefore\) x + \((\frac{-8}{19})\) = \(\frac{1}{2}\)

\(\Rightarrow\) x = \(\frac{1}{2}\) - \((\frac{-8}{19})\) = \(\frac{1}{2}\) + \(\frac{8}{19}\) \(=\frac{19+8\times2}{38}\) \(=\frac{19+16}{38}\) \(=\frac{35}{38}.\)

+1 vote
by (36.7k points)

Correct option is   D) 35/38 

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