SOLUTION: The difference between the digits of a 2 digit number is 1. The number itself is 1 more than 5 times the sum of its digits. If the unit digit is greater than the tens digit. Find
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Question 697044: The difference between the digits of a 2 digit number is 1. The number itself is 1 more than 5 times the sum of its digits. If the unit digit is greater than the tens digit. Find the number.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The difference between the digits of a 2 digit number is 1. The number itself is 1 more than 5 times the sum of its digits. If the unit digit is greater than the tens digit. Find the number.
**
let u=units digit
let t=tens digit
10t+u=number
..
u-t=1
u=t+1
10t+u=5(u+t)+1
10t+(t+1)=5(t+1+t)+1
11t+1=5(2t+1)+1
11t+1=10t+5+1
11t+1=10t+6
t=5
u=t+1
u=6
number: 56
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