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Q: What are two numbers whose difference is 152 and whose product is a minimum?

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11

-12

-5 * 5 = -25

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Suppose the smaller of the two numbers is x. Then the other number is x+22. Their product is x*(x+22) = x2 + 22x This has a minimum when 2x = -22 or x = -11. When x = 11, the two numbers are -11 and 11 with a product of -121.

Suppose the smaller of the two numbers is x. Then the larger is x + 16 and their product is x*(x+16) = x2 + 16x This has its minimum when 2x = -16 or x = -8 When x = -8, the two numbers are -8 and 8 and their product is -64.

10 and 16.

17 and 53

-14 and 14, giving a product of -196.

Numbers whose product is one is called multiplicative inverses.

12 x 2 = 24 12 - 2 = 10 The two numbers are therefore 2 and 12.

two prime numbers whose product is 141 = 3 & 47

3 and 7 are prime numbers whose product is 21.

33X34=1122 34-33=1

Any two numbers whose product is '1' are each others' reciprocals.

4 and 19 4 x 19 = 76 19 - 4 = 15

9

find two positive numbers whose product is a maximum. 1.) the sum is s.

67

19

17 and 3 are two prime numbers whose sum is 20. Their product is 51.

1x1

333,567,536

There are no such numbers.

4 and 11. 4 x 11 = 44 11 - 4 = 7