algebra
posted by susan
I am the middle of 3 numbers whose total is 31. The largest is 3 more than 5 times the smallest. What # am I?
1st number I put as x
2nd number I put as y as long as y> x
3rd number is 3+5x=z
X+y+z=31
so when I plug it in I get
X+y+3+5x=31. Y=286x
Now is where I get lost. Because I have Y & Z but when I plug it all in I get 0 for X which doesn't come out correctly.?????

Steve
OK. Y=286x.
But, y>x, since it is the middle
So, we have
286x > x
28 > 7x
x < 4
So, we have several choices
3,10,18
2,16,13
1,22,8
...
But y is the middle, so only 3,10,18 works.
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