A and b are positive numbers. a is inversely proportional to b.
when a=4,b=36
find value of a when b=a

a = 12

Step-by-step explanation:

Given that a is inversely proportional to b then the equation relating them is

a = ← k is the comstant of proportion

To find k use the condition when a = 4, b = 36, then

4 = ( multiply both sides by 36 )

144 = k

a = ← equation of proportion

When b = a , then

a = ( multiply both sides by a )

a² = 144 ( take square root of both sides )

a = ± = ± 12

However a is a positive number, thus a = 12

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step-by-step explanation: