Homework Help: Math

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

2 teams played each other recently. Team 1 scored N points, while team 2 scored M. 1<M and N<100.
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 8:15pm
I'm sorry, N=a+b^2
Math - Reiny, Monday, April 5, 2010 at 8:38pm
Let 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

7th grade math - last weekend,alans basketball team played in a tournament. alan...
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. ...
3rd grade - Thea's soccer team scored 12 goals in the first three games. The...
Math - Round your answer to the nearest whole number when necessary. In a ...
math - four guys scored 1 1/2,8 3/4,5 1/8 and 1 1/4 points for their team what ...

For Further Reading

First Name:
School Subject:
Answer: