# Homework Help: Use of Division Algorithm word problem

1. Aug 7, 2012

### srfriggen

1. The problem statement, all variables and given/known data

In Florida, the fourth and fifth digits from the end of a driver's licence number give the year of birth. The last three digits for a male with birth month m and date b are represented by 40(m-1)+b. Determine the dates of birth of people who have last five digits 42218 and 53953.

2. Relevant equations

3. The attempt at a solution

For license number 42218 I set up the formula:

218=40(m-1)+b
218=40m-30+b
258=40m+b
258=40(6)+18.

June 18th 1942. (even though I consider 18 to be the fourth and fifth digits and 42 to be the first and second).

For the second license number 53953 I set up the problem the same way and wound up with:

993=40m+b

I can't seem to find any m's or b's that make "Sense", i.e. m between 1 and 12 and b between 1 and 31.

2. Aug 7, 2012

### uart

Yes, from the information given, the largest number for that 3 digit code should be 11x40 + 31 = 471. So perhaps the question has a typo.

Last edited: Aug 7, 2012
3. Aug 7, 2012

### srfriggen

That's what I was hoping! good to see i'm not missing anything.

thank you.

4. Aug 7, 2012

### uart

Are you sure there's not some further information to that problem that we're not being told. The example says "for a male" ..., perhaps they add 500 for a female?

5. Aug 7, 2012

### srfriggen

I think you may be right. It's worded very poorly however.

anyway, onto the next.