SOLUTION: if you have first 3 term of AP .The sum of no is 15 and product of the number is 45 .what the number

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: if you have first 3 term of AP .The sum of no is 15 and product of the number is 45 .what the number      Log On


   

Question 969732: if you have first 3 term of AP .The sum of no is 15 and product of the number is 45 .what the number
Answer by satyareddy22(84) About Me  (Show Source):
You can put this solution on YOUR website!
Let x,y,z be first 3 term of AP.since x,y,z are in AP
y=(x+z)/2 => 2y = x+z-------(1)
Given that,
x+y+z=15-----------(2)
xyz=45-------(3)
Now substituting (1) in (2)
3y=15=>y=15/3=5
y=5
substituting y=5 in (2)
x+z=10=>x=10-z-----(4)Now again substituting y=5 &(4) in (3)
(10-z)5(z)=45
5z^2-50z+45=0
z^2-10z+9=0
After solving,we get two values for z=1,9
when z=1,then x=9
when z=9,then x=1