Your cousin is 26 years older than your sister. the product of their ages is 560. how old is your sister?

Your answer is approximately 21 years old

It has already been answered, but here is how to solve. C is the variable for cousin's age and S is for sister.

S+26=C
C•S=560

Substitute C in the first equation into the second one.

(S+26)•S=560

S^2+26S=560

S^2+26S-560=0

(S+40)(S-14)

S=14 or -40

Eliminate
-40 The answer is 14. Your sister is 14.