Three numbers in A.P.: (a-d,\ a,\ a+d)
Sum: (3a=24\implies a=8)
Product: (8(64-d^2)=440\implies64-d^2=55\implies d^2=9\implies d=\pm3)
Numbers: (5,8,11) or (11,8,5)
Answer: (5,8,11)
The sum of three numbers in an A.P. is 24 and their product is 440. Find the numbers.
Three numbers in A.P.: (a-d,\ a,\ a+d)
Sum: (3a=24\implies a=8)
Product: (8(64-d^2)=440\implies64-d^2=55\implies d^2=9\implies d=\pm3)
Numbers: (5,8,11) or (11,8,5)
Answer: (5,8,11)
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