Alemar Is Thrice As Old As Daisy. Next Year, The Sum Of Their Ages Is 22 Years. How Old Are They Now?

Alemar is thrice as old as Daisy. Next year, the sum of their ages is 22 years. How old are they now?

 

Answer:

Alemars age now is 15 while Daisy is 5

Let A = Alemars age now

D = Daisys age now

Equation1: A = 3D

Equation2: (A + 1) + (D + 1) = 22

___________A + D + 2 = 22

___________ A + D = 22 - 2

___________ A + D = 20 <- Equation2

Lets use the substitution method

A + D = 20

3D + D = 20

4D = 20

D = 5

A = 3D

A = 3(5)

A = 15

CHECKING:

A = 3D

15 = 3(5)

15 = 15 TRUE

A + D = 20

15 + 5 = 20

20 = 20 TRUE