Question 147573: Two-thirds of a number x decreased by 5 is 9. Find the number. Found 2 solutions by ptaylor, mangopeeler07:Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Let x=the number
(2/3)x= two thirds of the number
(2/3)x-5= two thirds of the number decreased by 5 and we are told that this equals 9, so our equation to solve is:
(2/3)x-5=9 multiply each term by 3
2x-15=27 add 15 to each side
2x-15+15=27+15 collect like terms
2x=42 divide each side by 2
x=21----------------------------------------the number
CK
(2/3)*21-5=9
14-5=9
9=9
You can put this solution on YOUR website! If the original equation is , then multiply both sides by 3. Get . Then divide by two. . Then add five. .
If the orginal equation is , then add five first and get . Then multiply by 3/2 and get .
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