SOLUTION: The sum of two digits of a 2-digit # is 12. If the units digit is 3 times the tens digit, find the #

Algebra.Com
Question 332590: The sum of two digits of a 2-digit # is 12. If the units digit is 3 times the tens digit, find the #
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
It's 39.
-------------
Since it adds to 12 and the 1's is 3x the 10's, both digits have to be multiples of 3.
39 is the only possibility
---------------------------
The hard way:
t = 10s digit, u = 1s digit
t + u = 12
u = 3t
Sub for u in the 1st eqn
t + 3t = 12
4t = 12
t = 3
u = 9

RELATED QUESTIONS

The tens digit of a 2 digit number is 2 larger than 3 times the units digit. If the sum... (answered by jorel1380)
The units digit of a two-digit number exceeds the tens digit by 2. Find the number if it... (answered by stanbon)
The sum of the digits of a three-digit number is 12. The tens digit is two times the... (answered by mananth)
The tens digit of a two-digit number is 1 more than two times the units digit. If the sum (answered by Shai)
the sum of the digits of the two-digit number is 12. If the tens digit is 2 more than... (answered by harpazo)
The units’ digit of a two-digit number is 2 more than 3 times the tens’ digit. When the... (answered by josmiceli)
The tens digit of a two-digit number is 1 more than four times the units digit. If the... (answered by htmentor)
The tens digit of a two-digit number is 1 more than three times the units digit. If the... (answered by math_helper)
The units' digit of a two-digit numeral is 5 more than the tens' digit. The number is 3... (answered by Nate)