Question

Divide 80 into two parts so that their product is maximum, then the numbers are

Answer 1

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Answer 2

Given:

Divide 80 into two parts so that their product is maximum.

To find:

the numbers.

Solution:

1) If we divide the 80 into two part we would get the numbers as x and 80-x.

2) So we have to find the maximum value of x(80-x).

3) There is a concept in multiplication that if the gap between the numbers is minimum than the product would be maximum and vice versa.

4) So we have to find the minimum gap to make the product maximum.

5) It is very clear that only 40, 40 are the numbers which have minimum difference so that product must be maximum.

Divide 80 into two parts as 40 and 40.