1.  If 4(x –y) = 64 and 4 (x + y) = 1024, then find the value of x.
A. 3
B. 1
C. 6
D. 4

Answer: Option D

Explanation:

4 (x – y) = 64

4 (x – y) = 64 = 43

Equation 1) x – y = 3

4 (x + y) = 1024 = 45

Equation 2) x + y = 5

Solving equation (1) and (2), we get

x = 4 and y = 1

Crosscheck the answers by substituting the values of x and y in the given expression.

4 (4 – 1) = 43 = 64 and 4 (4 + 1) = 45 = 1024

Hence, the answers x = 4 and y = 1 are correct.