Question 610071
When the digits of a two-digit number are reversed, the new number is 36 more than the original number. The units digit is twice the tens digit. What is the original number?
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u=units digit
t=tens digit
u=2t
original number=10t+u
new number=10u+t
new number=original number+36
10u+t=10t+u+36
10(2t)+t=10t+2t+36
20t+t-10t-2=36
9t=36
t=4
u=2t=8
original number=10t+u=40+8=48