Question

Ifx and y varies inversely as each other and x = 2 when y=40. Find x when x = 20.Please try to answer this question ​

Answer 1

Explanation:

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Answer 2

Aɴꜱᴡᴇʀ

$\Huge{Y=40}$

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Gɪᴠᴇɴ

If X and Y varies inversely and when the value of X is 2 then the value of Y is 40

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Tᴏ ꜰɪɴᴅ

What will be the value of Y when the value of X is 20

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Sᴛᴇᴘꜱ

$\sf{it \: is \: given \: that \: x \: \: \alpha \: to \: y } \\ \sf{so \: x = y } \\ \sf{here \: its \: given \: that \: x \: varies \: inversely \: so} \\ \sf{x = ky} \\ \sf{2 = 40k} \\ \sf{k = \frac{2}{40} } \\ \sf{k = \frac{1}{20} }$

$\sf{if \: the \: value \: of \: x = 20 \: then \: the \: value \: of \: y \: i s\: equal \: to } \\ \sf{20 = \frac{1}{20} y} \\ \sf{y = 20 \times 20} \\ \sf{thus \: the \: value \: of \: y = 400}$

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