SOLUTION: This is the closest subject I could find, but the topic is Digit Problems. The question is: A two-digit number is four times the sum of its digits. The tens digit is 3 less then th

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: This is the closest subject I could find, but the topic is Digit Problems. The question is: A two-digit number is four times the sum of its digits. The tens digit is 3 less then th      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 114415This question is from textbook
: This is the closest subject I could find, but the topic is Digit Problems. The question is: A two-digit number is four times the sum of its digits. The tens digit is 3 less then the units digit. What is the number? This question is from textbook

Answer by stanbon(75887) 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 then the units digit. What is the number?
---------------------
Every two-digit number can be written as 10t+u where t is the tens digit
and u is the units digit.
----------------------------------
EQUATIONS:
10t+u = 4(t+u)
t = u-3
----------------
Rearrange
6t-3u = 0
t = u-3
---------------
Substitute to solve for "u":
6(u-3) - 3u = 0
3u-18 = 0
u = 6
-------------------
Substitue to solve for "t"
t = 6-3 = 3
-------------------
The number is 36
===================
Cheers,
Stan H.