Question

If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
A.0
B.2
C.4
D.6

Answer 1

The first point is that your question consists x-y and x+y as a power of 3 in both the given conditions. Further solution is given below___

3^(x-y) = 27
3^(x-y) = 3^3
x-y = 3_____(1)

3^(x+y) = 243
3^(x+y) = 3^5
x+y = 5_____(2)

Adding both the equations__
x-y+(x+y) = 3+5
x-y+x+y = 8
2x = 8
x = 8/2
x = 4
Option (C) is correct
Hope it helps!

Answer 2

Answer:

45

Step-by-step explanation:

x-y=27/3

x+y=243/3

x-y=9-----(1)

x+y=81-----(2)

solving (1) and (2)

2x=90

x=45

Options are wrong x=45