SOLUTION: The sum of twice a first number and five times a second number is 111. If the second number is subtracted from five times the first number the result is 21. Find the numbers
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Question 322878: The sum of twice a first number and five times a second number is 111. If the second number is subtracted from five times the first number the result is 21. Find the numbers Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! The sum of twice a first number and five times a second number is 111.
let one number be x: other number be y
2x+5y=111................ equation 1
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the second number is subtracted from five times the first number the result is 21.
5x-y=21................... equation 2
multiply equation 2 by 5 and it to equation 1 to eliminate y
25x-5y=105
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25x-5y+2x+5y=105+111
27x=216
x=8
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plug the value of x in equation 2
40-y=21
-y=-19
y=19
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The numbers are 8 & 19
