Question

2. If x and y are inversely proportional, then find out the missing value of x.
x ? 30
y 2 5​

Answer 1

SOLUTION

GIVEN

x and y are inversely proportional

TO DETERMINE

The missing value of x.

x : ? 30

y : 2 5

EVALUATION

Here it is given that x and y are inversely proportional

$\displaystyle \sf{ \therefore \: x \propto \: \frac{1}{y} }$

$\displaystyle \sf{ \implies \: x = \: \frac{k}{y} }$

$\displaystyle \sf{ \implies \: x y= k} \: \: ....(1)$

Where k is a non zero real number

Now it is given that x = 30 when y = 5

From Equation (1) we get

$\displaystyle \sf{ \implies \: 30 \times 5 = k}$

$\displaystyle \sf{ \implies k = 150}$

So the equation (1) becomes

$\displaystyle \sf{ xy = 150}$

Now when y = 2 we get from above

$\displaystyle \sf{ \: 2x = 150}$

$\displaystyle \sf{ \implies \: x= 75}$

Hence the required value of x is 75

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Answer 2

Answer:

? = 150 and x = 75

Step-by-step explanation:

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