The sum of three consecutive numbers in A.P. is 27,and their product is 504,find them.
Share
The sum of three consecutive numbers in A.P. is 27,and their product is 504,find them.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Here is your answer,
Let the three numbers be a-d , a ,a+d
a-d+a+a+d=27
3a=27
a=27/3
a=9
(a-d)a(a+d)=504
(a^2-d^2)a=504
(9^2-d^2)9=504
81-d^2 = 504/9
81-d^2= 56
-d^2 = 56-81
-d^2 = -25
d=+/-5
If d=+5
Terms = 4,9,14
If d=-5
Terms=14,9,4
Hope it helps you!