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Chapter 7: Q18. (page 247)

Find the value of x.

x+4x鈭�4=65

Short Answer

Expert verified

The value of x is 44.

Step by step solution

01

Step 1. Given information.

The ratio here given is,

x+4x鈭�4=65

02

Step 2. Concept and Formula Used.

The properties of proportion,

ifab=cdthen,ad=bcad=bc

The given ratio isx+4x鈭�4=65,

03

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

Then,

5(x+4)=6(x鈭�4)5x+20=6x鈭�24(Usingdistributiveproperty)5x鈭�6x=鈭�24鈭�20鈭�x=鈭�44x=44

Therefore, the value of x is 44.

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