Question

if the ratio between x + 3 and 2x - 3 is 5:7; find x.​

Answer 1

Step-by-step explanation:

here is your answer brother

Answer 2

The value of x = 12

Given :

The ratio between x + 3 and 2x - 3 is 5 : 7

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that ratio between x + 3 and 2x - 3 is 5 : 7

By the given condition

$\displaystyle \sf{(x + 3) : (2x - 3) = 5 : 7 }$

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{(x + 3) : (2x - 3) = 5 : 7 }$

$\displaystyle \sf{ \implies \frac{x + 3}{2x - 3} = \frac{5}{7} }$

$\displaystyle \sf{ \implies 5(2x - 3) = 7(x + 3)}$

$\displaystyle \sf{ \implies 10x - 15 = 7x +21}$

$\displaystyle \sf{ \implies 10x - 7x = 15+21}$

$\displaystyle \sf{ \implies 3x =36}$

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

$\displaystyle \sf{ \implies x = 12 }$

Hence the required value of x = 12

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