Mathematical Reasoning Problem PLEASE HELP?

Posted on 2015-10-08 06:32:00 in Math by MARIA

Russell wanted to impress his coworkers. At a meeting he announces that he can predict anyone’s birthday if they tell him their birthday number. He asked everyone to do the following:

Take the month of your birthday (1 for January, 2 for February, etc.)
then multiply it by 5
then add 7
then multiply by 4
then add 13
then multiply by 5
then add the day of your birthday.
Dave announced that his birthday number was 612. Ricky said his was 1129 and Mike said 1436. Russell said, “Well Dave, your birthday is April 7. Ricky, September 24, and Mike, you were born on the last day of the year, December 31.”

Question 1. Make a conjecture about how Russell determines the birthdays by examining the numbers.

Question 2. Prove your conjecture using deductive reasoning. Let x represent the birth month and y represent the birth day.

---

Answer Comment

No Answers Posted Yet.