Question

Three times a number, add nine, divided by 6 is the same as the number itself. Find the number

Answer 1

Answer: The number is: " 3 " .
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Step-by-step explanation:
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Let "x" represent the "unknown number" ; for which we are to solve.
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`((3x + 9))/(6) = x` ;

→ 6x = 3x + 9 ;
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Method 1)
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Given:
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→ 6x = 3x + 9 ;

Subtract "3x" from each side of the equation;

→ 6x – 3x = 3x + 9 – 3x ;

to get:

→ 3x = 9 ;

Divide each side of the equation by " 3 " ;
to isolate "x" on one side of the equation; & to solve for "x" ;

→ 3x / 3 = 9 / 3 ;

→ x = 3 .
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The number is: " 3 " .
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Method 2)
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Given:
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→ 6x = 3x + 9 ;

Divide the entire equation by " 3 " ;

→ 6x / 3 = (3x + 9) / 3 ;

to get:

→ 2x = x + 3 ;

Subtract "x" from each side of the equation:

→ 2x – x = x + 3 – x ;

to get:

→ 1x = 3 ;

↔ " x = 3 " .
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The number is: " 3 " .
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