SOLUTION: The sum of the digits is 11. The tens digit in a two digit number is 2 more than twice the units digit. Find the number

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Question 663178: The sum of the digits is 11. The tens digit in a two digit number is 2 more than twice the units digit. Find the number
Answer by MathLover1(20849) About Me  (Show Source):
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let x be the unit digit and y the tens digit
given:
The sum of the digits is 11: y%2Bx=11.......1
The tens digit in a two digit number is 2 more than twice the units digit.
y=2x%2B2........2
_____________________________
y%2Bx=11........substitute y from 2
2x%2B2%2Bx=11
3x=11-2
3x=9
highlight%28x=3%29.........the ones digit

y=2x%2B2........2
y=2%2A3%2B2
highlight%28y=8%29..........the tens digit
your number: 83