SOLUTION: A certain two digit number is 13 more than 9 times the tens digit. The original number is 4 less than twice the number formed by interchanging the digits. Find the original number.

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Question 551160: A certain two digit number is 13 more than 9 times the tens digit. The original number is 4 less than twice the number formed by interchanging the digits. Find the original number. Please help me!!!!!!
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A certain two digit number is 13 more than 9 times the tens digit. The original number is 4 less than twice the number formed by interchanging the digits. Find the original number.
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let t=ten's digit
let u=unit's digit
original number=10t+u
interchanged number=10u+t
..
10t+u=9t+13 (original number is 13 more than 9 times the tens digit)
10t+u=2(10u+t)-4 (original number is 4 less than twice the interchanged number)
..
t+u=13
10t+u=20u+2t-4
..
t+u=13
8t-19u=-4
..
8t+8u=104
8t-19u=-4
27u=108
u=4
t=13-u=9
original number=94