Answer:
Richard is 32 years old while Teo is 12 years old.
Step-by-step explanation:
Let:
Richard age be r
Teo's age be t
"Richard and Teo have a combined age of 44"
r + t = 44 (equation 1)
"Richard is 8 years older than twice Teo's age"
r = 8 + 2t (equation 2)
Substitute equation 2 to equation 1.
r + t = 44
(8 + 2t) + t = 44
8 + 2t + t = 44
8 + 3t = 44
3t = 44 - 8
3t = 36
t = 36 ÷ 3
t = 12
Teo's age is 12
Substitute Teo's age to equation 1 (equation 2 is possible but equation 1 is easier):
r + t = 44
r + (12) = 44
r = 44 - 12
r = 32
Richard is 32 years old