Question

If x,13,y,3are in ap find x and y

Answer 1

X,13,y,3 are in AP

using arithmetic mean

y=13+3/2

y=16/2

y=8

a2-a1=a3-a2

13-x=8-13

13-x= -5

-x= -5-13

-x= -18

X=18

Answer 2

Answer:

x=18 and y=8

Step-by-step explanation:

a1=x, a2=13, a3=y and a4=3

If x,13,y,3are in ap

Then, a2-a1=a4-a3 and a2-a1=a3-a2

a2-a1=a4-a3

13-x=3-y

x-y=13-3

x-y=10 ......(i)

and

a2-a1=a3-a2

13-x=y-13

x+y=26 .......(ii)

Adding equation (i) and (ii) we get

2x=36

x=18

Substituting the value of x in equation (ii), we get

18+y=26

y=26-18

y=8