Find three positive numbers that sum to 150 with the largest possible product of the three. (enter your answers as a comma-separated list.)

Respuesta :

Largest possible number = 150 ÷ 3 = 50

Sum = 50 + 50 + 50 = 150
Product = 50 x 50 x 50 = 125000

Answer: The three numbers are 50, 50 and 50.

The three numbers are equal for the largest possible product of three numbers is 50.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Three positive numbers sum to 150 with the largest possible product of the three.

Let the number be x, y, and z.

We know that the product of two or more is highest when they all are of the same magnitude.

x = y = z

Then we have

x + x + x = 150

           x = 50

Then the product will be

50 × 50 × 50 = 125,000.

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