SOLUTION: The sum of the digits of a two digit number is 14. The first digit is 4 less than the second digit. What is the original number?

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: The sum of the digits of a two digit number is 14. The first digit is 4 less than the second digit. What is the original number?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 392435: The sum of the digits of a two digit number is 14. The first digit is 4 less than the second digit. What is the original number?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the digits of a two digit number is 14. The first digit is 4 less than the second digit. What is the original number?
--------------------------
Let the number be 10t+u
-----
Equations:
t + u = 14
t = u-4
----
Substitute for "t" and solve for "U":
u-4+u = 14
2u = 18
u = 9
---
Solve for "t":
t = 9-4 = 5
----
Ans: 59
==================
Cheers,
Stan H.
===================