Find the four numbers in A.P., whose sum is 50 and in which the greatest number Is 4 times the least.

Explanation

Let the four numbers in A.P. be

`Sum = 50`

`=>a−3d,a−d,a+d,a+3d⇒(a−3d)+(a+d)+(a+d)+(a+3d)=50`

`=>4a=50`

`a=``25/2``……(i)`

and

`(a+3d)=4(a−3d)`

`(25+6d)/2``=50−12d`
...