SOLUTION: the difference between the digits of a two digit number is 1. the number itself is 1 more than 5 times the sum of its digits. if the units digit is greater than the tens digit, fin

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Question 866299: the difference between the digits of a two digit number is 1. the number itself is 1 more than 5 times the sum of its digits. if the units digit is greater than the tens digit, find the number.
Answer by Seutip(231) About Me  (Show Source):
You can put this solution on YOUR website!
Let:
x - be the units digit
x-1 - be the tens digit
(Because their difference is 1, and units digit is greater than tens digit)
Therefore the number is:
10%28x-1%29%2B1%28x%29 Hope you get it :)
So, the number itself is 1 more than 5 times the sum of its digits
10%28x-1%29%2B1%28x%29=5%28%28x%29%2B%28x-1%29%29%2B1
10x-10%2Bx=5%282x-1%29%2B1
11x-10=10x-5%2B1
11x-10=10x-4
x=6
So the unit digit is 6, and the tens is 5
The number is 56!
HOPE THAT HELPS!