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InterviewSolution
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Question 3fa) The sum of three numbers in A.P. is 24 and the sum of their squares is 194, Find the numbers.13)tho nrohahility thai the |
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Answer» Let the three numbers in AP be,a-d,a,a+d Their sum =24 3a=24 a=8 The sum of their squares is 194. (a-d)^2+(a)^2+(a+d)^2=194 a^2+d^2-2ad+a^2+a^2+d^2+2ad=194 3a^2+2d^2=194 3(64)+2d^2=194 2d^2=194-192d^2=1d=1/-1 So the three numbers are a-d= 8-1=7, a=8, a+d=8+1=9.So they are 7,8,9 in any order |
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