59. Consider all pairs of positive integers w and z whose sum is 5. For how many values of w does there exist a positive integer x that satisfies both 2w = x and xz = 64 ?

Answer and Explanation

Your Answer is

Correct Answer is B

Explanation

Because 2w = x, xz = 64, so 2wz = 64 = 26 . It can be seen that wz = 6, and w+z = 5, w is a positive integer, so

w1 = 2, z1 =3, w 2 = 3, z2 = 2 , w has two solutions