SOLUTION: the sum of the digits of the two-digit number is 12. the number with the digits interchanged is 20 more than 8 times the unit digit of the original number. find the original number
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Question 936188: the sum of the digits of the two-digit number is 12. the number with the digits interchanged is 20 more than 8 times the unit digit of the original number. find the original number and the number interchanged.
please show me the solution. thank you.
You can put this solution on YOUR website! Let t = tens digit
u = units digit
10t + u = value of the number
10u + t = value of the number with digits reversed
we have two equations
t + u = 12
10u + t = 8u + 20
t + 2u = 20
subtract first equation form second equation
u = 8
t = 4
original number is 48 and the number interchanged is 84
84 = 64 +20 = 84
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