SOLUTION: The sum of the digits of a two-digit number is 7. When 14 is added to the original number, the result is 5 more than the number with the digits interchanged. Find the original numb

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Question 955954: The sum of the digits of a two-digit number is 7. When 14 is added to the original number, the result is 5 more than the number with the digits interchanged. Find the original number.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the digits of a two-digit number is 7. When 14 is added to the original number, the result is 5 more than the number with the digits interchanged. Find the original number.
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let u=units digit
let t=tens digit
t+u=7
t=7-u
10t+u+14=10u+t+5
10(7-u)+u+14=10u+7-u+5
70-10u+u+14=10u+7-u+5
-9u+84=9u+12
18u=72
u=4
t=7-4=3
original number:10t+u=30+4=34