SOLUTION: the sum of the digits of a two-digit number is 6. if the digits are reversed, the new number is three times the original tens digit. find the original number

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Question 186850: the sum of the digits of a two-digit number is 6. if the digits are reversed, the new number is three times the original tens digit. find the original number
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
"the sum of the digits of a two-digit number is 6" ---> t+u=6 ---> t=6-u

"if the digits are reversed, the new number is three times the original tens digit" 10u+t=3t

10u+t=3t

10u=2t


10u=2(6-u)

10u=12-2u

12u=12

u=1

t=6-u

t=6-1

t=5


Original Number: 51