Question

The sum of four numbers in AP is 50 and the greatest number four times the least find the number

Answer 1

Answer:

the greater number is 20 and the smaller number is 5

Step-by-step explanation:

AP:  x, x+d, x+2d, x+3d , x+4d .....

then,     x+ x+d+ x+2d+ +-x+3d = 50

              4x+6d = 50

                 2x + 3d = 25

given that x+3d = 4*x

                  x+3d = 4x

                    3d = 3x

                       d = x

so,  2x+3d=25

     2x + 3x = 35 (since we proved thar d = x)

5x = 25

or, x = 5

also,   d=x=5

   so,   d = 5

hence the AP is =   5, 5+5, 5+ 2*5, 5+3*5......

                             =  5, 10, 15, 20........

the greater number is 20 and the smaller number is 5