SOLUTION: I'm having a hard time figuring out the answer to this problem, and even figuring out the correct set up for the equation. Thanks for any help provided! <br> One number is eleven

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Question 122527: I'm having a hard time figuring out the answer to this problem, and even figuring out the correct set up for the equation. Thanks for any help provided!


One number is eleven more than twice another. If their sum is decreased by ten, the result is thirteen. Find the numbers.


this is what i know
one number is x
one number is elven more x+11
twice another 2x
sum decreased by ten is thirteen x-10=13
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

let numbers be x and y, and let sat x%3Ey
if one number is eleven more than twice another, then you have:
x+=+2y+%2B+11......................(1)
if their sum is decreased by ten, the result is 13. means:
%28x%2By%29-10+=+13...or
x+%2B+y+=+23......................(2)
now solve the system to find the numbers.:
x+=+2y+%2B+11......................(1)...this one is solved for x; so plug x into (2)
2y+%2B+11+%2B+y+=+23......................(2)
2y+%2B+11+%2B+y+=+23.............
3y++=+23+-11+.............
3y++=+12.............
y++=+4.............
x+=+2y+%2B+11......................(1)...plug in y
x+=+2%2A4+%2B+11..............
x+=+19..............