Chapter 7: Q18. (page 247)

Find the value of x.
$\frac{x + 4}{x - 4} = \frac{6}{5}$

Short Answer

Expert verified

The value of x is 44.

Step by step solution

Step 1. Given information.

The ratio here given is,

$\frac{x + 4}{x - 4} = \frac{6}{5}$

Step 2. Concept and Formula Used.

The properties of proportion,

if $\frac{a}{b} = \frac{c}{d}$ then, $a d = b c$ $a d = b c$

The given ratio is $\frac{x + 4}{x - 4} = \frac{6}{5}$ ,

Step 3. Use the property of proportion, if ab=cd then,ad=bc .

Then,

$\begin{array}{l} 5 (x + 4) = 6 (x - 4) \\ 5 x + 20 = 6 x - 24 (Usingdistributiveproperty) \\ 5 x - 6 x = - 24 - 20 \\ - x = - 44 \\ x = 44 \end{array}$

Therefore, the value of x is 44.

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Find the value of x.
$\frac{x + 4}{x - 4} = \frac{6}{5}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept and Formula Used.

Step 3. Use the property of proportion, if ab=cd then,ad=bc .

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Find the value of x.x+4x−4=65

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept and Formula Used.

Step 3. Use the property of proportion, if ab=cd then,ad=bc .

One App. One Place for Learning.

Most popular questions from this chapter

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Find the value of x.
$\frac{x + 4}{x - 4} = \frac{6}{5}$