Question

If a and b vary inversely, find the value of x.
a/b
50/2
25/x

Answer 1

Answer:

50 x 2 - 25

2 2 1

answer has been shown above

Answer 2

The required value of x = 4

Given :

a and b vary inversely

a/b

50/2

25/x

To find :

The value of x

Solution :

Step 1 of 3 :

Form the equation

a and b vary inversely

$\displaystyle \sf{ \implies a \propto \: \frac{1}{b} }$

$\displaystyle \sf{ \implies a = \: \frac{k}{b} }$

$\displaystyle \sf{ \implies ab = k \: \: \: \: - - - (1)}$

Where k is non zero constant

Step 2 of 3 :

Find the value of k

a = 50 when b = 2

From Equation 1 we get

50 × 2 = k

⇒ k = 10

From Equation 1 we get

$\displaystyle \sf{ ab = 100 \: \: \: \: - - - (2)}$

Step 3 of 3 :

Find the value of x

Putting a = 25 and b = x in Equation 2 we get

$\displaystyle \sf{ \implies 25x = 100 \: }$

$\displaystyle \sf{ \implies x = 4 \: }$

The required value of x = 4

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