Question 703118
Two times the smaller of two numbers is two less than the difference between the two numbers. The sum of the larger number and one-half of the smaller number is equal to three times the smaller number increased by five. What are the numbers?
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let x=smaller number
let y=larger number
..
2x=(y-x)-2
y+x/2=3x+5
..
2x=y-x-2
2y+x=6x+10
..
3x=y-2
5x+2y-10
..
6x=2y-4
5x=2y-10
subtract
x=6
y=3x+2=18+2=20
smaller number=6
larger number=20