SOLUTION: The sum of the digits of a two-digit no. is 11. If the digits are reversed the new no. is 7 more than twice the original no. Find the original no.

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Question 880209: The sum of the digits of a two-digit no. is 11. If the digits are reversed the new no. is 7 more than twice the original no. Find the original no.

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 no. is 11. If the digits are reversed the new no. is 7 more than twice the original no. Find the original no.
***
u=units digit
t=tens digit
u+t=11
t=11-u
..
10u+t=2(10t+u)+7
10u+t=20t+2u+7
10u+11-u=20(11-u)+2u+7
9u+11=220-20u+2u+7
27u=216
u=8
t=11-u=3
original number=10t+u=38