Theory of Intelligence
11TH•Mathematics•Sequences And Series•Question 12

Overview

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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