Question

if ratio (x-5):x+5 is equal to the ration 2:7 find the value of x​

Answer 1

HOPE IT HELPS

Step-by-step explanation:

(x-5)/(x+5) = 2/7

(x-5)×7 =(x+5)×2

7x-35 =2x+10

7x-2x =35+10

5x=45

x=45/5

x=9

Answer 2

➤ Answer

• The value of x = 9.

➤ Given

• x - 5 : x + 5 = 2 : 7

➤ To Find

• The value of x.

➤ Step By Step Explanation

Given that x - 5 : x + 5 is equal to 2 :7. We need to find the value of x.

First we will form an equation and then we will find the value of x using basic arithmetic.

So let's do it !!

➠ Equation

$\dag\underline{\boxed{\bf{ \green{\cfrac{x - 5}{x + 5} = \cfrac{2}{7}}}}}$

➠ Solution of Equation

$\longmapsto\tt\cfrac{x - 5}{x + 5}=\cfrac{2}{7} \\ \\\longmapsto\tt 7(x - 5) = 2(x + 5) \\ \\\longmapsto\tt 7x - 35 = 2x + 10 \\ \\\longmapsto\tt 7x - 2x = 10 + 35 \\ \\\longmapsto\tt 5x = 45 \\ \\\longmapsto\tt x = \cancel\cfrac{45}{5} \\ \\\longmapsto\bf x = 9$

➵ Therefore, the value of x = 9.

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