Question

Find two integers whose sum is 140 and whose product is as large as possible

Answer 1

70 and 70

Step-by-step explanation:

We need to find two integers that sum to 140. So, we can use some numbers like

139 and 1

110 and 30

80 and 60

However from those numbers, the large product will be when both numbers are the same. So, we will use

70 and 70

And we can compare the product for each option:

139 x 1 = 139

110 x 30 = 3300

80 x 60 = 4800

But

70 x 70 = 4900

Therefore, the answer is: 70 and 70