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?
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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