Question

If x and y varies inversely and x = 10 when y = 25, find x when y = 40​

Answer 1

Answer:

Since x and y vary inversely as each other, therefore the product xy always remains constant.

10×6=15×y

⇒60=15y

⇒y=

15

60

⇒y=4.

Answer 2

SOLUTION

GIVEN

x and y varies inversely and x = 10 when y = 25

TO DETERMINE

The value of x when y = 40

EVALUATION

Here it is given that x and y varies inversely

⇒ x ∝ 1/y

⇒ x = k/y

⇒ xy = k - - - - - - (1)

Now x = 10 when y = 25

⇒ 10 × 25 = k

⇒ k = 250

From Equation 1 we get

xy = 250

When y = 40 we have

40x = 250

⇒ x = 6.25

FINAL ANSWER

Hence the required value of x = 6.25

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