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A teenager is someone who is 13, 14, 15, 16, 17, 18 or 19 years old. The product of the ages of a particular group of teenagers is 705,600. What is the mean of their ages in years? Express your answer as a decimal to the nearest tenth.

 Jul 24, 2020
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A teenager is someone who is 13, 14, 15, 16, 17, 18 or 19 years old. The product of the ages of a particular group of teenagers is 705,600. What is the mean of their ages in years? Express your answer as a decimal to the nearest tenth.  

 

I could find only one way to produce a product of 705,600 by

using only "teen" numbers – namely, 14 • 14 • 15 • 15 • 16 

so there are five teenagers in the group, with those ages. 

 

                                                                             74   

The mean (average) of those five numbers is     ——     =     14.8 

                                                                              5   

.

 Jul 24, 2020

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