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If the sum of three numbers in AP is 9 and their product is 24 then the number is what |
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Answer» Answer: 2,3,4 Step-by-step EXPLANATION: LET the numbers be a-d,a,a+d Given SUM is 9 a-d+a+a+d=9 3a=9 a=9/3 a=3 Given product is 24 (a-d)a(a+d)=24 (a^2-d^2)a=24 (3^2-d^2)3=24 (9-d^2)3=24 9-d^2=24/3 9-d^2=8 d^2=9-8 d^2=1 d=+or - 1 if d=1 a-d=3-1=2 a=3 a+d=3+1=4 if d=-1 a-d=3-(-1)=3+1=4 a=3 a+d=3+(-1)=3-1=2 The numbers are 2,3,4 |
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