The sum of two Rational numbers is 1/2 and one of the numbers is -8/19 then the second number is ………………

Correct option is (C) \(\frac{a+b}{2}\) Rational number between a and b is \(\frac{a+b}{2}.\)

Correct option is (D) \(\frac{a+b}{2}\) \(\frac{a+b}{2}\) is a rational number lying between two rational numbers a and b.

Correct option is (D) 35/38 Let the second number be x. \(\therefore\) x + \((\frac{-8}{19})\) = \(\frac{1}{2}\) \(\Rightarrow\) x = \(\frac{1}{2}\) - \((\frac{-8}{19})\) = \(\frac{1}{2}\) + \(\frac{8}{19}\) \(=\frac{19+8\times2}{38}\) \(=\frac{19+16}{38}\) \(=\frac{35}{38}.\)

Correct option is (C) 17 The smaller number is x. \(\therefore\) other number is x+5. \((\because\) One number is 5 greater than the other) Given that sum of two numbers is 29. \(\therefore\) x + (x+5) = 29 \(\Rightarrow\) 2x...

Correct Answer - 1,-1,2

Correct Answer - `f^(-1):Q to Q , f^(-1)(y)=(y+4)/(5)`

Let the numbers be ‘a’ and ‘b’.  Given, sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8.  ⇒ a + b = 8  ⇒ a...