Question

IF 5, X, Y, 26 ARE IN ARITHMETIC PROGRESSION ,THEN FIND X AND Y

Answer 1

If 5,X,Y,26 ARE IN A.P.
THEN,X-5=Y-X=26-Y
Y-X=26-Y
=>Y-X+Y=26
=>2Y-X=26.......(1)

X-5=Y-X
=>X+X-Y=5
=>2X-Y=5
=>-2Y+4X=10.....(2)

2Y-X =26
-2Y+4X=10 {(1) + (2)}
----------------
0+3X=36
X=36/3
X=12



2Y-X=26
=>2Y-12=26
=>2Y=26+12
=>Y=38/2
=>Y=19