Question

9:5::36:x-3 find the value of x in the proportion

Answer 1

9/5=36/x-3
180=9x-27
207=9x
so x = 207/9
= 23

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Answer 2

The value of x = 23

Given :

$\displaystyle \sf{ 9 :5:: 36 :(x - 3)}$

To find :

The value of x

Solution :

Step 1 of 2 :

Write down the given expression

Here it is given that

$\displaystyle \sf{ 9 :5:: 36 :(x - 3)}$

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ 9 :5 = 36 :(x - 3)}$

$\displaystyle \sf{ \implies \frac{9}{5} = \frac{36}{x - 3} }$

$\displaystyle \sf{ \implies 9x - 27 = 180 }$

$\displaystyle \sf{ \implies 9x = 180 + 27 }$

$\displaystyle \sf{ \implies 9x = 207 }$

$\displaystyle \sf{ \implies x = \frac{207}{9} }$

$\displaystyle \sf{ \implies x = 23 }$

Hence the required value of x = 23