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Algebra Difficulty 1.7 Junior Find the answer

Three integers from the list 1,2,4,8,16,201,2,4,8,16,20 have a product of 80. What is the sum of these three integers?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

The three integers from the list whose product is 80 are 1, 4, and 20, since 1×4×20=801 \times 4 \times 20=80. The sum of these integers is 1+4+20=251+4+20=25.
(Since 80 is a multiple of 5 and 20 is the only integer in the list that is a multiple of 5, then 20 must be included in the product. This leaves two integers to choose, and their product must be 8020=4\frac{80}{20}=4. From the given list, these integers must be 1 and 4.)

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