three numbers are in arithmetic progression their sum is 81 and product is 19440 find those numbers
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Step-by-step explanation:
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the no. is 24 27 30
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Let the three nos. be a-d , a , a+d
Sum=> a-d+a+a+d=81
3a=81
a=27
Product=> (a-d)(a)(a+d)=19440
a(a^2-d^2)=19440
27(729-d^2)=19440
729-d^2=720
d^2=729-720
d=+3 or -3
Case 1: If d=+3
a-d=27-3=24
a=27
a+d=27+3=30
Case 2: If d= -3
a-d=27+3=30
a=27
a+d=27-3=24
In either of the cases the numbers are the same, that is; 24, 27 and 30.
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