# SOLUTION: if 11 added to a number the sum is three times another number but if 9 is subtracted from the number the difference is half the other what are the two numbers ?

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 Click here to see ALL problems on Numbers Word Problems Question 415123: if 11 added to a number the sum is three times another number but if 9 is subtracted from the number the difference is half the other what are the two numbers ? Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!numbers be x, y 11+x=3y x-3y=-11..............1 x-9 = 1/2 y 2(x-9)=y 2x-18=y y-2x=-18..............2 ... x-3y=-11 .............1 -2x+y =-18 .............2 multiply (1)by 2 Multiply (2) by 1 2x-6y =-22 -2x+y =-18 Add the two equations -5y=-40 /-5 y=8 Plug value of y in x-3y=-11 x-24=-11 x=13