SOLUTION: the sum of the digits of a two digit number is 12. if the digits are reversed, the resulting number exceeds twice the original number by 15. find the original number
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Question 460606: the sum of the digits of a two digit number is 12. if the digits are reversed, the resulting number exceeds twice the original number by 15. find the original number Answer by JimboP1977(311) (Show Source):
You can put this solution on YOUR website! Let the two digits be x and y, x is the tens and y is the units
x+y =12 (1)
10y+x = 2(10x+y)+15
10y+x = 20x+2y+15
-15 = 19x-8y (2)
Times (1) by 19
19x+19y = 228 (3)
(3) - (2)
27y = 243
y = 9
therefore x = 3
