Asked by Lucy

Among all pairs of numbers with a sum of 34, find the pair whose product is maximum. Write your answers as fractions reduced to lowest terms.
Answered by Ms. Sue
17 + 17; 17^2 = 289
16 * 18; 16 * 18 = 288
15 + 19; 15 * 19 = 285

Do you see the pattern?

Answered by Lucy
Not really. I don't understand what the problem is wanting me to do exactly. Could you explain further?
Answered by Ms. Sue
You need to find the pairs numbers that add up to 34.
17 + 17
16 + 18
15 + 19
and so on

Then you're to find which of these pairs when multiplied together has the biggest product.

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