Brian is twice as old as Charlie. Three years from now, the sum of their ages will be 33.How old are Brian and Charlie today?

Brian is 18 yr old and Charlie is 9 yr old

Step-by-step explanation:

Let age of Brian be B and that of Charlie be C,

Now,B=2×C and also three years after their ages are B+3 and C+3 respectively

(B+3)+(C+3)=33

Put B=2C

2C+3+C+3=33

3C=27

C=9

Now B=2×9=18

Brian is 18 yr old and Charlie is 9 yr old

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)