Question

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

Answer 1

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.

Answer 2

Your answer is approximately 21 years old