If Brandon's, Tanya's and Sam's ages totalled 37 and Brandon is 6 years older than Tanya and Sam is 8 years younger than Tanya. What are their ages?

Tanya is 13 years old

Brandon is 19 years old

Sam is 5 years old

Step-by-step explanation:

Tanya is (x) 13

Brandon is (x+6) (13) + 6=19

Sam is (x-8) (13) - 8=5

(x) + (x+6) + (x-8) = 37

combine like terms

3x-2=37

add 2 to both sides

3x-2=37

+2 + 2

3x=39

divide 39 by 3

3x=39

:3 : 3

x=13

Tanya is 13

Brandon is 19

Sam is 5

Step-by-step explanation:

b+t+s=37

b=t+6

s=t-8

plug in:

t+6+t+t-8=37

3t-2=37

+2 + 2

3t=39

divide by 3

t=13

plug in

b=13+6=19

s=13-8=5

t=13, b=19, s=5

Tanya is 13

Brandon is 19

Sam is 5