# SOLUTION: Four times the larger number was 11 greater than 7 times the smaller number. If the smaller number was 8 less than the larger number, what was the smaller number?

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 Click here to see ALL problems on Numbers Word Problems Question 333671: Four times the larger number was 11 greater than 7 times the smaller number. If the smaller number was 8 less than the larger number, what was the smaller number?Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!let larger number be x smaller number be y .. 4x =7y+11 4x-7y=11...................1 x-y=8......................2 .. multiply equation 2 by -4 and add to equation 1 -4x+4y+4x-7y=-32+11 -3y=-21 y=7 .. x-y =8 x=8+y x=15