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

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Question 1147887: The difference between the digits of a two digit number is 1. The number itself us 1 more than 5 times the sum of its digit. If the units digit is greater than the tens digit, find the number
Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between the digits of a two digit number is 1. The number itself us 1 more than 5 times the sum of its digit. If the units digit is greater than the tens digit, find the number
FYI: The number is NOT 45, so IGNORE, or just CROSS-OUT the following, from the other person: cross%28t=4%29, then cross%28u=5%29

45

Try working it out yourself! I think you'll do a better job!

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The difference between the digits is 1; and the units digit is greater. So

let x = tens digit
then x+1 = units digit

The sum of the digits is then (x)+(x+1) = 2x+1.

With tens digit x and units digit x+1, the (value of) the number itself is 10(x)+(x+1) = 11x+1.

The information says the number is 1 more than 5 times the sum of the digits:

11x%2B1+=+5%282x%2B1%29%2B1

Solve using basic algebra....

NOTE....

It is very easy to check your answer in this problem. If the answer you get doesn't check, then you've done something wrong somewhere.

If the response from the first tutor has not been corrected/revised, it can be educational to look at their work and see where their error is. It's a simple error in setting up the problem -- an error anybody could make if they aren't paying attention. But since their answer of 45 doesn't satisfy the conditions of the problem, you know there is something wrong somewhere.