Question

find the four numbers in ap whose sum is 50 and in which the greatest no.is 4 times the last​

Answer 1

Answer:

5,10,15,20

Step-by-step explanation:

Let the nos. be a-3d, a-d, a+d, a+3d and the common difference is 2d.

so sum = 4a= 50

a=50/4=12.5

also a+3d=4(a-3d)

so a+3d=4a-12d

15d=3a

d=a/5

so as a=12.5,d =2.5

therefore the nos are

5,10,15,20