Question

यदि दो संख्याओं का गुणनफल 245 है और उनका संबंध 1:5 है तो उनका योग क्या होगा​

Answer 1

$Let \: m\:and \:n \:are \:two \: numbers .$

$Given \: m : n = 1 : 5$

$Let \: m = 1x \: and \: n = 5x$

$Product = 245$

$\implies m \times n = 245$

$\implies x\times 5x = 245$

$\implies 5x^{2} = 245$

$\implies x^{2} = \frac{245}{5}$

$\implies x = \pm \sqrt{49}$

$\implies x = \pm \sqrt{7^{2}}$

$\implies x = \pm 7$

Case 1 :

If x = 7 then

$Required \: numbers \: m = 1x = 1\times 7 = 7$

$n = 5x = 5 \times 7 = 35$

Or

Case 2:

If x = -7

$Required \: numbers \: m = 1x = 1\times (-7) = -7$

$n = 5x = 5 \times (-7)= -35$

Therefore.,

$\red { Required \:numbers }\\\green {(7,35) \:Or \: (-7,-35) }$

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