Monday

October 20, 2014

October 20, 2014

Posted by **CT** on Monday, April 5, 2010 at 8:06pm.

The first digit of N is a, the second digit b. N-a+b^2.

The first digit of M is b, the second is a. By how many points does team M win the game? There is a mathematical way to do this, although I reached the answer by process of elimination.

- Math -
**CT**, Monday, April 5, 2010 at 8:15pmI'm sorry, N=a+b^2

- Math -
**Reiny**, Monday, April 5, 2010 at 8:38pmLet N = 10a + b

but N = a + b^2

so b^2 + a - 10a + b

b^2 - b - 9a = 0

b(b-1) = 9a

which tell me that the product of 2 consecutive numbers, which are less than 10, must be a multiple of 9

only possibilities

9x8 = 72 yes

8x7 = 56 no

7x6 = 42 no

6x5 = 30 no

5x4 = 20 no

4x3 = 12 no

3x2 = 6 no

2x1 = 2 no

so 9a = 72

a = 8

then b^ - b - 72 = 0

(b-9)(b+8) = 0

b = 9

N = a + b^2 = 8 + 81 = 89

M = 98

**Answer this Question**

**Related Questions**

math - Use the data in the table below to determine which sports teams have ...

7th grade math - last weekend,alans basketball team played in a tournament. alan...

3rd grade - Thea's soccer team scored 12 goals in the first three games. The ...

math - - Three hockey teams, the Crabs, the Eels, and the Seals, played each ...

math - - Three hockey teams, the Crabs, the Eels, and the Seals, played each ...

math - At the end of an basketball game daniels couch told him he scored 20% of ...

Math - Alex scored 13 points in the basketball game. This was 1 fifth of the ...

Math - Alex scored 13 points in the basketball game. This was 1/5 of the total ...

Algebra - Each team in a soccer leaguehas played every other team 5 times. ...

Pre-Algebra - A back-to-back stem-and-leaf plot showing the points scored by ...