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The sum of three numbers in an arithmetic progression is 24 and their product is 440.What are the numbers?

 Jul 4, 2020
 #1
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a +      a +d     + a + 2d = 24

3a + 3d = 24

a + d = 8        d = 8-a                    

 

a (a+d)(a+2d) = 440

a (8)(a + 2d) =440

8a^2 +16ad = 440

8a^2 + 16(a)(8-a)

8a^2 + 128a -16a^2 -440 = 0

-8a^2 +128a-440 = 0                          Quadratic Formula    a = 5 or 11

 

results in     5    8    11   

 Jul 4, 2020

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