SOLUTION: A number of two digits is such that twice the tens digit is six greater than the unit digit, when the digits are reversed the number is increased by 9,find the number

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Question 894540: A number of two digits is such that twice the tens digit is six greater than the unit digit, when the digits are reversed the number is increased by 9,find the number
Answer by Alan3354(69443) About Me  (Show Source):
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A number of two digits is such that twice the tens digit is six greater than the unit digit, when the digits are reversed the number is increased by 9,find the number
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Reversing the digits of a 2 digit number changes it by 9 times the difference between the digits --> the 10s digit is 1 less than the 1s digit.
t = u - 1
2t = u + 6
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2u - 2 = u + 6
u = 8
t = 7
--> 78