Question

find four numbers in ap whose sum is 50 and in which the greatest number is 4 times the least

Answer 1

let 4 numbers be a , a+d , a+2d , a+3d

a +a+d+a+2d+a+3d=50

2a+3d=25            ( -1)

also given greater number  is 4 times the least

4a=a+3d

a=d

5d = 25

d=5

first four terms are 5, 10 ,15 ,20