Find three numbers in an AP whose sum is 15 and product is 105. Find the three numbers
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Answer:3,5,8 or 7,5,3
Step-by-step explanation:
let the three numbers in ap be a-d,a,a+d
sum of them is 15
a-d+a+a+d=15
3a=15
a=5
product of them is 105
(a-d)*a*(a+d)=105
a=5
(a^2-d^2)*a=105
(25-d^2)=105/5
25-d^2=21
d^2=4
d=2,-2
the numbers can be 3,5,8 or 7,5,3
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