The sum of two numbers is 9. The sum of their reciprocals is 1/2. Find the numbers.

Correct option is (D) Odd number Sum of three odd numbers is odd. Sum of an odd number and an even number is odd. \(\therefore\) Sum of three odd numbers and one even number is odd.

Correct option is (C) x + y = 24 Let both numbers are x and y. \(\therefore\) Their sum = x+y \(\therefore\) x + y = 24    \((\because\) Given that sum of both numbers is 24)

Let the numbers be: a - 3d, a - d, a + d, a + 3d a - 3d + a - d + a + d + a + 3d...

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 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...

HCF of two numbers = 25  Product of two numbers = 1050  Let their LCM be x.  Using the formula, Product of two numbers = HCF × LCM  We conclude that,  1050 = 25 ×...

1. 15  2. 16