Richard and Teo have a combined age of 44. Richard is 8 years older than twice Teo's age. How old are Richard and Teo?

Richard is 32 years old while Teo is 12 years old.

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