pamedmonds
pamedmonds pamedmonds
  • 07-09-2016
  • Mathematics
contestada

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

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figueroacaedon03 figueroacaedon03
  • 07-09-2016
your answer is approximately 21 years old
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Javion
Javion Javion
  • 07-09-2016
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.
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