Digit Saver

Find Live Listings for Digit Saver on eBay Below

No items matching your keywords were found.


Scroll Down to Find Even More Digit Saver Below
HELP WITH MATH!!!!!!!!?

Ok so this question is a long one, that's why i got confused
Ok it's:
Let P(n) and S(n) denote the product and the sum, respectively, of the digitsof the integer n. For example, P(23) = 6 and S(23) = 5. Suppose N is a two-digit number such that N = P(N) +S(N). What is the units digits of N?
If you help you will be a life saver...thanks so much!!

Let us first assign variables:

x = tens digit of N
y = units digit of N

Thinking about it logically, the number N would be represented by the expression 10x + y, since every time you have a two digit number, the digit in the tens place is technically multiplied by ten.
(example, 63 = (6 * 10) + 3)

N = 10x + y

Now, P(N) is the product of the two digits, therefore:

P(N) = xy

S(N) is the sum of the two digits, therefore:

S(N) = x + y

Now since you know N = P(N) + S(N), you can put it all together.

10x + y = xy + (x + y)

10x + y - x - y = xy

9x = xy

y = 9

Since you're only looking for the units digit, and y is the units digit, you're done. The units digit of N would simply be 9.

No items matching your keywords were found.

Share and Enjoy:
  • Print
  • Digg
  • del.icio.us
  • Facebook
  • Mixx
  • Google Bookmarks
  • Blogplay
  • LinkedIn
  • StumbleUpon
  • Technorati

Leave a Comment

Previous post:

Next post: