SOLUTION: if 7 times a 2 digit number is equal to 4 times the number obtained by reversing the oder of the digit. the sum of the digits is 3. find the number ?

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: if 7 times a 2 digit number is equal to 4 times the number obtained by reversing the oder of the digit. the sum of the digits is 3. find the number ?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 448958: if 7 times a 2 digit number is equal to 4 times the number obtained by reversing the oder of the digit. the sum of the digits is 3. find the number ?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if 7 times a 2 digit number is equal to 4 times the number obtained by reversing the order of the digit. the sum of the digits is 3. find the number ?
---------------
Let the number be 10t+u
---
Equation:
t+u = 3
7(10t+u) = 4(10u+t)
-----------
Substitute for "t" and solve for "u":
7(10(3-u)+u) = 40u+4(3-u)
----
7(30-9u) = 40u+12-4u
210-63u = 36u+12
99u = 198
u = 2
-------
Solve for "t":
t+u = 3
t+2 = 3
t = 1
===================
The number is 10t+u = 12
=================================
Cheers,
Stan H.
=================