A catcher's and a pitcher's uniform numbers are consecutive integers whose product is 132. If the catcher's was the smaller number, determine the uniform number of each player. catcher's number pitcher's number

Question

Mathematics

Elisabeth Blackburn

16 March, 16:32

A catcher's and a pitcher's uniform numbers are consecutive integers whose product is 132. If the catcher's was the smaller number, determine the uniform number of each player. catcher's number pitcher's number

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Rich · Answer 1

catcher: 11 pitcher: 12

Step-by-step explanation:

Since the numbers are consecutive, the square root of the product will be a value between them.

√132 ≈ 11.49

so, the consecutive numbers are 11 and 12. (11*12 = 132)

The catcher's number is smaller, so is 11; the pitcher's number is 12.