SOLUTION: the units digit of a two digit number is two more than the tens digit. if the number is divided by 7 times the units digit, the quotient is 1 and the remainder is 4. find the numbe

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Question 1144285: the units digit of a two digit number is two more than the tens digit. if the number is divided by 7 times the units digit, the quotient is 1 and the remainder is 4. find the number. (use 1 variable thanks)
Answer by greenestamps(13330) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be the units digit.

Then, since the units digit is 2 more than the tens digit, the tens digit is x-2.

The number itself is 10 times the tens digit, plus the units digit: 10(x-2)+x = 11x-20.

The number, divided by 7 times the units digit, gives a quotient of 1 and a remainder of 4. The means the number is 4 more than 7 times the units digit:

11x-20+=+7x%2B4

Solve using basic algebra.

But finishing the problem is not the important thing for you. What is important is to understand the part of the problem I showed -- the process of converting the given information into an equation that can be solved.