The sum of two numbers is 29. If one number is 5 greater than the other, then the bigger number is 

Correct Answer - 37,29

B) Conjecture

Correct option is (D) -5/9 Let the other numbr be x. Then \(x\times4=-\frac{20}9\) \(\Rightarrow\) \(x=\frac{-20}{9\times4}\) \(=\frac{-5}{9}.\)

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

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...

Let the numbers be ‘a’ and ‘b’  Given, sum of two numbers is 18. The sum of their reciprocals is 1/4  ⇒ a + b = 18  ⇒ b = 18 – a  Also,...