SOLUTION: A number consists of 2 digits whose sum is 11 . If the digits are interchanged the value of the number decreases by 45 . Find the number.

Question 999024: A number consists of 2 digits whose sum is 11 . If the digits are interchanged the value of the number decreases by 45 . Find the number.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Well, you can play with all the combinations to find the answer...
83 becomes 38 and decreases by 45...
Otherwise cal the tens digit x and the ones digit y.
x + y = 11
(10x+y)-(10y+x) = 45
9x - 9y = 45 or
x - y = 5
x + y = 11
add the two equations and get
2x = 16
x = 8
y = 3
83
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