Question 972441
Seven times a two  digit  number  is equal to four times the number  obtained  by reversing  the digits. If the difference  between  the two  digits  is 3, find the number. 
Plzzzzzz solve it.......
Thank  you. ...!!!!
<pre>Let the tens and units digits be T and U, respectively
Then original number is: 10T + U
Reversed number is: 10U + T
Seven (7) times the original number is (=) ONLY 4 times the reversed number, which suggests that the 
original number is SMALLER than the reversed number. As the original number is SMALLER than the reversed
number, U, or the units digit is LARGER than the tens digit. Therefore, we get the following system of equations: 
7(10T + U) = 4(10U + T)
U – T = 3

Solve this system for T: the tens digit, and U: the units or ones digit. You'll then have the ORIGINAL NUMBER.