Question

the sum of two numbers is 45 and thier product is 500 what are the numbers

Answer 1

Answer:

$let \: one \: number \: be \: \: \: x \\ let \: the \: second \: number \: be \: \: \: \: y \\ \\ according \: to \: condition(1) \\ x + y = 45...........(1) \\ \\ according \: to \: condition \: (2) \\ xy = 500 \\ y = \frac{500}{x} ..............(2) \\ \\ putting \: the \: value \: of \: y \: in \: equation \: (1) \\ x + y = 45 \\ x + \frac{500}{x} = 45 \\ x {}^{2} + 500 = 45x \\ x {}^{2} - 45x + 500 = 0 \\ x {}^{2} - 20x - 25x + 500 = 0 \\ x(x - 20) - 25(x - 20) = 0 \\ (x - 20)(x - 25) = 0 \\ x = 20 \\ x = 25 \\ \\ if \: x = 20 \\ then \: y = 25 \\ \\ if \: x = 25 \\ then \: y = 20$

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Answer 2

hii mate here is the answer ✌️

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