SOLUTION: in a two digit number, sum of the digits is 10. if 3 is subtracted from tens places and 3 is added to ones place, then the two digits are equal. find the number.

Question 757039: in a two digit number, sum of the digits is 10. if 3 is subtracted from tens places and 3 is added to ones place, then the two digits are equal. find the number.
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Let x = the tens digit
Let y = the units digit
Then you have
(1) x + y = 10 and
(2) x - 3 = y + 3 or
(3) x - y = 6
Now add (1) and (3) to get
(4) x + y + x - y = 10 + 6 or
(5) 2*x = 16 or
(6) x = 8
Using (1) we get
(7) 8 + y = 10 or
(8) y = 2
Let's check this,
Is (8 - 3 = 2 + 3)?
Is (5 = 5)? Yes
Answer: The two digit number is 82.
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