If $x$ and $y$ vary inversely as each other and $x = 10$ when $y = 6$ . Find $y$ when $x = 15$ .

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Solution

Find the value of missing variable
Since $x$ and $y$ vary inversely, the product $x y$ always remains constant.
$\Rightarrow 10 \times 6 = 15 \times y \Rightarrow y = \frac{10 \times 6}{15} \Rightarrow y = 4$
Hence, the value of $y$ is $4$ .

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Similar questions

If x and y vary inversely as each other and
(i) x=3 when y = 8, find y when x=4
(ii) x=5 when y = 15, find x when y = 12
(iii) x=30, find y when constant of variation = 900
(iv) y = 35, find x when constant of variation = 7.

$x$ varies inversely as $y$ , when $x = 15$ then $y = 10$ , if $x = 20$ then $y = ?$

Q. If

x

and

y

vary inversely as each other, and

x = 10

when

y = 6

. Find

y

when

x = 15

Q. If x and y vary inversely as each other and x = 3 when y = 8, find y when x = 4.

Q. If

y

varies inversely as

x

, and

y = 32

when

x = 3

find

x

when

y = 15

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If x and y vary inversely as each other and x=10 when y=6. Find y whenx=15.

Find the value of missing variable Since x and y vary inversely, the product xy always remains constant.⇒10×6=15×y⇒y=10×615⇒y=4Hence, the value of y is 4.

If $x$ and $y$ vary inversely as each other and $x = 10$ when $y = 6$ . Find $y$ when $x = 15$ .

Find the value of missing variable
Since $x$ and $y$ vary inversely, the product $x y$ always remains constant.
$\Rightarrow 10 \times 6 = 15 \times y \Rightarrow y = \frac{10 \times 6}{15} \Rightarrow y = 4$
Hence, the value of $y$ is $4$ .