Question

Find the two numbers whose sum is 16 and whose product is maximum.

Answer 1

For example

1+15=16

2+14=16

3+13=16

4+12=16

5+11=16

6+10=16

7+9=16

8+8=16

the are all the sums

1*15=15

2*14=28

3*13=39

4*12=48

5*11=55

6*10=60

7*9=63

8*8=64

If the numbers do not repeat the product of 9*7=63 is the maximum product,

If the numbers can be the same the product of 8*8 is the maximum product