SOLUTION: The tens digit of a two-digit number is 1 more than four times the units digit. If the sum of the digits is 6, find the number

Question 541828: The tens digit of a two-digit number is 1 more than four times the units digit. If the sum of the digits is 6, find the number
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let T = the ten's digit
Let U = the unit's digit
Given: ten's digit is 1 MORE than 4 TIMES the units digit -> T = 1 + 4U
Given: sum of the digits is 6 -> T + U = 6
Substitute the value for T in the 1st equation and substitute in the 2nd:
1 + 4U + U = 6
5U = 5
U = 1
So the ten's digit is 1 + 4*1 = 5
The number is 51

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