Correct option is (c) 17, 9
Let the larger number be x.
According to the given condition, smaller number would be x − 8
Hence,
x(x − 8) = 153
x2 − 8x = 153
x2 − 8x − 153 = 0
x2 − 17x + 9x − 153 = 0
x(x − 17) + 9(x − 17) = 0
(x + 9) (x − 17) = 0
x = −9 and x = 17
Since the numbers are positive.
Hence the larger number is 17.
While the smaller number is 17 − 8 = 9.