# SOLUTION: The sum of two numbers is 42. One number plus 2 times the other number is 57. What are the numbers? The sum of two numbers is 45. Their difference is 9. What are the numbers?

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 Click here to see ALL problems on Numbers Word Problems Question 108520: The sum of two numbers is 42. One number plus 2 times the other number is 57. What are the numbers? The sum of two numbers is 45. Their difference is 9. What are the numbers? Answer by elima(1433)   (Show Source): You can put this solution on YOUR website!The sum of two numbers is 42. One number plus 2 times the other number is 57. What are the numbers? x+y=42 x+2y=57 Lets solve by elimination; so we will multiply the first equation by -1; (-1)x+y=42 -x-y=-42 ========== Now we will add that equation to the second; _________ y=15 now plug that into either original equation to find x; x+15=42 x=27 ======================================== The sum of two numbers is 45. Their difference is 9. What are the numbers? x+y=45 x-y=9 Since one variable will already be eliminated we will not need to multiply anything; _____________ 2x=54 x=27 plug that into either equation for x; 27+y=45 y=45-27 y=18 :) _________