Your cousin is 26 yr older than your sister. The product of their ages is 560. How old is your sister?

Answer 1

sister age = s
cousin age = c
c - s = 26
c s = 560 so c = 560/s

560/s - s - 26 = 0
560 - s^2 - 26 s = 0

s^2 + 26 s - 560 = 0
solution is a complex number, no real solution is possible.