SOLUTION: A certain two- digit number has a value that is three times the sum of its digits. the units digit is one more than three times the tens digit. Find the number

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Question 360115: A certain two- digit number has a value that is three times the sum of its digits. the units digit is one more than three times the tens digit. Find the number
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Let x represent the tens digit. Then the unit digit is (3x + 1)
write as we read
10x + (3x+1) = 3[x + (3x+1)]
solve for x
13x + 1 = 3x + 9x + 3
x = 2 the tens digit
(3x+1) = 7 which is the units digit
checking our answer
27 = 3*(2+7) = 27