# The sum of three numbers in A.P. is 12,and the sum of their cubes is 408;find the numbers.

2
by Sainkapoojam

Log in to add a comment

by Sainkapoojam

Log in to add a comment

That is, a+(a+d)+(a+2d) = 12

That is, 3a+3d = 12,

Meaning, a+d=4

Since sum is 12, numbers can be (1,4,7) or (2,4,6) or (3,4,5).

But it's given that sum of cubes is 408. This is satisfied only by (1,4,7).

Hence the numbers are 1,4,7.