Question

A and B are positive numbers.A is inversely proportional to B.When A = 4, B = 36.Find the value of A when B = A

Answer 1

Answer:

A = 12

Step-by-step explanation:

Given A is inversely proportional to B then the equation relating them is

A = $\frac{k}{B}$

To find k use the condition when A = 4, B = 36 , then

4 = $\frac{k}{36}$ ( multiply both sides by 36 )

144 = k

A = $\frac{144}{B}$ ← equation of variation

When B = A , then

A = $\frac{144}{A}$ ( multiply both sides by A )

A² = 144 ( take square root of both sides )

A = ± $\sqrt{144}$ = ± 12

Since A is a positive number then A = 12