Choose the correct letter. Your brother is 3 years older than you. Your sister is 4 years younger than you. The product of your ages is 1872. How old is your sister?
A. 9 years
B. 13 years
C. 16 years
D. 17 years

let x represent our age, b brothers age, s sisters age.

if brother is three years older than us,

x+3=b

if sister is four years younger than us,

x-4=b

the product of all three ages is 1872:

x*b*s=1872

substitute now b and s

x*b*s=1872

x(x+3)(x-4)=1872

(x^2+3x)(x-4)=1872

x^3-4x^2+3x^2-12x=1872

x^3-2^x-12x=1872

subtract 1872 from both sides

x^3-x^2-12x-1872=0

on the graph we can see that the only real solution is 13

x=13

b=3+13

m=16

s=x-4

s=13-4

s=9

Our age is 13, brothers age is 16 and sisters age is 9

the correct answer is (A)

plz mark me as brainliest if this helped :)

5y

step-by-step explanation: