Answer:
We define the following variables:
x = Heather
y= Brian
z = Rafael
x<y Heather sent fewer messages than Brian
x=z , Rafael sent times as many messages as Heather
Explanation:
The equation that solves this problem is
[tex]x+y+z=82\\2x+y=82\\2x=82-y\\\\x=1/2(82-y)[/tex]
Remember that
[tex]x<y\\1<=x<=27[/tex]
; we can define the following interval
for example 1)
[tex]x=1/2(82-y)\\x=1\\2(1)=82-y\\2=82-y\\y=80\\x=z=1[/tex]
for example 2)
[tex]2x=82-y\\ x=272(27)=82-y\\54=82-y\\y=28\\x=z=27\\[/tex]
