PROBLEM 1-9-6

The basketball team at a Middle School consists of seven students from the sixth, seventh, and eighth grades. If the product of their ages is 35,335,872, what is the sum of their ages?

 

SOLUTION 1-9-6

Factor 35,335,872 remembering that the students are likely to be ten to fourteen years old. Thus, factor it as 112 x 123 x 132. Two students are 11 years old, three students are 12, and two students are 13. The sum of these ages is
2(11) + 3(12) + 2(13) = 84.