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if A varies inversely as B and A is twice as B and the value of
B = 10 find A when B = 20​


Sagot :

In the given problem, apply your knowledge in algebraic expression and basic mathematics especially in solving word problem involving direct and inversely variation.

Given Statement

If A varies inversely as B and A is twice as B and the value of B = 10 find A when B = 20

Mathematical Equation

A = k/B, k is constant

A = 2B, B = 10

A = 20

Solution

Solve for k

A = k/B, when A = 20, B = 10

20 = k/10

k = 20(10)

k = 200

Solve for A

k = 200, B = 20

A = k/B

A = 200/20

A = 10

Answer: 10

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