Question

If x and y vary inversely as each other ,and x=15 when y=6, then find y when x =10

Answer 1

x=15
y=6
If,
x=10
then value of y
10y=15×6
y=15×6/10
y=9

Answer 2

Given,

x and y vary inversely from each other.

When x=15, then y=6

To find,

The value of y when x=10.

Solution,

We can simply solve this mathematical problem using the following process:

According to the question,

x and y vary inversely as each other

=> x is directly proportional to 1/y

=> x = k × 1/y, where k is a proportionality constant

=> xy = k = constant

{Equation-1}

Now, according to the question;

15 × 6 = 10 × y

=> y = 90/10

=> y = 9

Hence, the value of y is equal to 9 when x is equal to 10.