# Algebra

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.

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1. 17 + 17; 17^2 = 289
16 * 18; 16 * 18 = 288
15 + 19; 15 * 19 = 285

Do you see the pattern?

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Ms. Sue
2. Not really. I don't understand what the problem is wanting me to do exactly. Could you explain further?

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3. 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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Ms. Sue

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