Question

If x^2-y^2=32 and average of x and y is 4, then which of the following statement is correct? (a) y+x=28 (b) x-y=4 (c) y=x (d) xy=4

Answer 1

Answer:

the answer is B

${x}^{2} - {y}^{2} = 32 \\ \frac{x + y}{2} = 4 \\ x + y = 8 \\ {(x - y)}^{2} = 32 \\ (x - y)(x + y) = 32 \\ (x - y)8 = 32 \\ x - y = \frac{32}{8} \\ x - y = 4$