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

Algebra ->  Sequences-and-series -> SOLUTION: Find four numbers in A.P whose sum is 50 and in which the greatest number is 4 times the least      Log On


   

Question 316906: Find four numbers in A.P whose sum is 50 and in which the greatest number is 4 times the least
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a%2B%28a%2Bd%29%2B%28a%2B2d%29%2B%28a%2B3d%29=50
1.4a%2B6d=50
.
.
.
a%2B3d=4a
2.a=d
Substitute into eq. 1,
4d%2B6d=50
10d=50
highlight%28d=5%29
.
.
highlight%28a=5%29
.
.
(5,10,15,20)