SOLUTION: Four times the sum of the digits of a two-digit number is equal to the number. If the digits are reversed, the resulting number is 27 greater than the original number. What is the
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Question 471140: Four times the sum of the digits of a two-digit number is equal to the number. If the digits are reversed, the resulting number is 27 greater than the original number. What is the number?
You can put this solution on YOUR website! Four times the sum of the digits of a two-digit number is equal to the number. If the digits are reversed, the resulting number is 27 greater than the original number. What is the number?
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A difference of 27 by reversing the digits means they differ by 3 (27/9) and the units digit is greater. (proof available)
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t = tens digit
u = units digit
u = t+3
10t + u = 4(t+u)
Sub for u
10t + t+3 = 4t + 4(t+3) = 8t + 12
11t + 3 = 8t + 12
t = 3
u = 6
--> 36
