Math, asked by chotu7274, 10 months ago


7. The difference or two natural numbers is 7. The product of the numbers is 170 Find the smaller number​

Answers

Answered by anamika100403
3

Answer:

here is ur answer

plz see the attachment

10 is the smaller no.

hope it helps...

Attachments:
Answered by Anonymous
36

Here Is Your Ans⤵

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Let Two Natural Numbers Be X & Y

➡X - Y = 7 ----- 1

➡X × Y = 170 ----- 2

Or

X = 170 / Y

Put The Value Of X In Equation 1

 \frac{170}{y}  - y = 7 \\  \\  =  >  {y}^{2}  - 7y  - 170 = 0 \\  \\  =  >  {y}^{2}  - 17y + 10y - 170 = 0 \\  \\  =  > y(y - 17) + 10(y - 17) =  0 \\  \\  =  > (y  +  11)(y - 17) = 0 \\  \\  =  > y =  - 10 \:  \: and \:  \: y = 17 \\  \\  \\ (natural \: number \: can \: not \: be \: negative \:so \: ignore \: negative \: value \: of \: y )

Put The Value of Y in equation 1

X - 10 = 7

X = 17

Hence ,  \fbox{x = 17} \:  \: and \:  \:  \fbox{y = 10} And smaller Number Is 10

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 <marquee > hope it helps u

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