Answer:
Catcher's number = 17
Pitcher's number = 18
Explanation:
Let two consecutive numbers be represented by x and (x + 1)
Hence,their product
= x(x + 1) = 306
= x² + x - 306 = 0
We factorise
= x² + 18x - 17x - 306 = 0
= x(x + 18) - 17(x + 18) = 0
= (x + 18)(x - 17) = 0
x + 18 = 0 = -18
x - 17 = 0 = 17
x = 17 and -18
Our answer can't be a negative integer
Hence x = 17
The second consecutive integer = x + 1
= 17 + 1 = 18
Hence the uniform numbers are 17 and 18.
We are told in question that: If the catcher's was the smaller number, determine the uniform number of each player.
Therefore,
The Catcher's uniform number = 17
The Pitcher's uniform number = 18