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Inverse Proportions

If x and y va...

Question

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

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Solution

$3 \times 8 = 4 \times y$

y = 6

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Similar questions

x

y

vary inversely as each other, and

x = 10

y = 6

y

x = 15

Q. 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.

Q. If x varies directly as y and inversely as z and if x = 8 when y = 5 and z = 3 then find y when x = 12 and z = 4.

If x and y vary inversely and x = 18 when y = 8, find x when y = 16.

y

varies as the sum of two quantities, one of which varies directly as

x

and the other varies inversely as

x

y = 6

x = 4

y = 3 \frac{1}{3}

x = 3

; find the equation between

x

y

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