Age problem. Dave is twice as old as Matt. Five years ago the sum of their ages was 44. How old are they now?

Dave: 36 years old

Matt: 18 years old

Step-by-step explanation:

Dave's age can be expresses as 2x of Matt (which is only x).

If 5 years ago the sum was 44, after this time the sum will be 44 + 5*2(person) = 54

Follow this expression:

2x+x=54

3x=54

x=18

Dave is 2x (36 years old) and Matt is 18 years old.

the one below it is a function

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32