Question

If a and b vary inversely, a = 45 when b= 2/5. Find b when a= 3/2

Answer 1

Answer:

a=45

when,b=2/5

ab=k(18)

in both cases product will be the same.

a=3/2

b=?

ATQ

ab=K

3/2*b=18

b=2/3*18

b=12

Answer 2

The value of b is 12 when $a= \dfrac{3}{2}$.

Step-by-step explanation:

If x and y vary inversely , then the equation for inverse proportion is given by :

$x1y_1=x_2y_2$

Given : a and b vary inversely.

When $b= \dfrac{2}{5}$  , a = 45

To find : b when $a= \dfrac{3}{2}$

Put $x1 = 45,\ y_1=\dfrac{2}{5},\ x_2=\dfrac{3}{2},\ y_2=b$ , we get

$45\times\dfrac{2}{5}=\dfrac{3}{2}b$

$18=\dfrac{3}{2}b$

$b=\dfrac{18\times2}{3}=12$

Hence, the value of b is 12 when $a= \dfrac{3}{2}$.

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