Question

Richard and Teo have a combined

age of 23. Richard is 2 years older than twice Teo's age. How old are Richard and
Teo?

Answer 1

Richard= 16 years old

Teo= 7 years old

Explanation:

Let Richard's and Teo's age be R and T years old respectively.

`\textcolor{steelblue}{\text{Form 2 equations based on given information:}}`

R +T= 23 -----(1)

R= 2T +2 -----(2)

`\textcolor{steelblue}{\text{Solving by substitution:}}`

Substitute (2) into (1):

(2T +2) +T= 23

3T +2= 23

3T= 23 -2

3T= 21

T= 21 ÷3

T= 7

Substitute T= 7 into (2):

R= 2(7) +2

R= 14 +2

R= 16

Thus, Richard is 16 years old and Teo is 7 years old.