Question

Twice Sam's age added to half her mother's age is 48. Three times her age less one third of her

Answer 1

Answer:

Sam is 15 and her mother is 36

Step-by-step explanation:

Let Sam's age be x and her mother's age by y

We can figure out Sam and her mother's age by representing these scenarios using equations with variables and solving the system using elimination

2x+y/2=48

3x-1/3y=33

You start by making all the numbers in both the equations whole

2(2x+y/2=48)

3(3x-1/3y=33)

Becomes:

4x+y=96

9x-y=99

Add together to eliminate y

13x/13=195/13

x=15

Now that we have x we can plug the value into the x in the equations to give us the y-value

2x15+y/2=48

30+y/2=48

30+y/2-30=48-30

y/2=18

2 X y/2=18 X 2

y=36

Therefore x=15 and y=36