Question

x and y vary inversely with each other. If x = 15 when y=6, then the value of x when y=15 is

Answer 1

Answer:

6

Step-by-step explanation:

x=15, y=6

x-y = 15-6

=9

y=15, x=?

15-9 = 6

Answer 2

Given:

x and y vary inversely with each other,

x = 15 when y = 6

To find:

Value of x when y = 15

Solution:

As given, x varies inversely as y,

so,

x ∝ 1/y

⇒ x = k/y

k is constant

⇒ when x = 15 when y = 6

⇒ 15 = k/6

⇒ 90 = k

∴ x = 90/y

so, when y= 15

⇒ x = 90/y

⇒ x = 90/15

⇒ x = 6

Hence, value of x is 6 when y = 15.