SOLUTION: A two-digit number is four times the sum of its digits. The tens digit is 3 less than the units digit. What is the number?

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Question 849774: A two-digit number is four times the sum of its digits. The tens digit is 3 less than the units digit. What is the number?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A two-digit number is four times the sum of its digits. The tens digit is 3 less than the units digit. What is the number?
***
let u=units digit
let t=tens digit
number: 10t+u
..
t=u-3
10t+u=4(u+t)
sub(u-3) for t
10(u-3)+u=4u+4(u-3)
10u-30+u=4u+4u-12
3u=18
u=6
t=u-3=3
number: 10t+u=36