Question

A.P of two numbers is 5 and its G.P is 4 then find two numbers?

Answer 1

$let \: no \: be \: x \: and \: y \\ \frac{x + y}{2} = 5 \: and \: \sqrt{xy} = 4\\ x + y = 10 \: and \: xy = 16 \\ y = 10 - x \\ x(10 - x) = 16 \\ 10x - {x}^{2} = 16 \\ {x}^{2} - 10x + 16 = 0 \\ {x}^{2} - 8x - 2x + 16 = 0 \\ (x - 8)(x - 2) = 0 \\ hence \: no \: are \: 8 \: and \: 2$