Question

If ‘a’ and ‘b’ varies directly at a = 6 when b = 2. If a = 24 then b = …..

Answer 1

Answer:

8

Step-by-step explanation:

Answer 2

SOLUTION

GIVEN

a and b varies directly at a = 6 when b = 2.

TO DETERMINE

The value of b when a = 24

EVALUATION

Here it is given that a and b varies directly

$\sf a \propto b$

∴ a = kb - - - - - - (1)

Where k is constant of variation

Now a = 6 when b = 2

Thus we get

6 = 2b

⇒ 2k = 6

⇒ k = 3

From Equation 1 we get

a = 3b

Now a = 24 gives

24 = 3b

⇒ 3b = 24

⇒ b = 8

FINAL ANSWER

Hence the required value of b = 8

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