The sum of two consecutive positive numbers is 10 then the smallest one is ………………..

Correct option is (D) 14, 16, 18 Let three consecutive even numbers are x - 2, x & x+2. \(\therefore\) Their mean \(=\frac{(x-2)+x+(x+2)}3\) \(=\frac{3x}3\) = x But given that mean of three consecutive even numbers is 16. \(\therefore\) x = 16 Thus,...

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 (D) 8 or -9 Let consecutive numbers are x and x+1. \(\therefore\) x(x+1) = 72    (Given) \(\Rightarrow\) \(x^2+x-72=0\) \(\Rightarrow\) \(x^2+9x-8x-72=0\) \(\Rightarrow\) x(x+9) - 8(x+9) = 0 \(\Rightarrow\) (x-8) (x+9) = 0 \(\Rightarrow\) x - 8 = 0 or x+9...

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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,...