Question

The sum of three numbers in ap is 27 and their product is 405 find the common difference

Answer 1

(a+d)+a+(a-d)=27

3a=27

a=9

(a+d)(a)(a-d)=405

(a)(a*2 - d*2)=405

substitute a=9 in eqn

9(9*2 - d*2)= 405

81 - d*2= 405÷9

-d*2=46-81

d*2=36

d=+ or - 6

so commom difference is + or - 6.