SOLUTION: the tens digit t of a two digit number is 2 less than the ones digit u. if the digits are reversed, the result is 5 more than twice the original number. what was the original numbe
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Question 50017: the tens digit t of a two digit number is 2 less than the ones digit u. if the digits are reversed, the result is 5 more than twice the original number. what was the original number? Answer by Paul(988) (Show Source):
You can put this solution on YOUR website! ten digit y = x-2
one digit = x
Original number = 10y+x
Reversed number = 10x+y
EQUATION:
10x+y=5+2(10y+x)
SUBSITUTE FOR Y:
10x+(x-2)=5+20y+2x
11x-2=5+20(x-2)+2x
11x-2=22x-35
11x=33
x=3
y=3-2=1
Hence, the number is 13.
Paul.
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