SOLUTION: If a number is multiplied by 7 the result is 182. The sum of that number's two digits is 8. Define the variables and write the system of equations

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Question 1055568: If a number is multiplied by 7 the result is 182. The sum of that number's two digits is 8. Define the variables and write the system of equations
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be two integers 0-9 and
N=10%2AA%2BB
So,
N%2A7=182
%2810%2AA%2BB%297=182
1.10A%2BB=26
and
2.A%2BB=8
Subtracting 2 from 1,
10A%2BB-A-B=26-8
9A=18
A=2
Then,
2%2BB=8
B=6
The number is 26.