Let “r” represent Richard’s age and “t” represent Teo’s age.
r + t = 19
2t + 4 = r
(2t + 4) + t = 19
Let’s remove the parenthesis and combine like terms:
2t + 4 + t = 19
→ 3t + 4 = 19
Now we can subtract 4 from both sides:
3t + 4 = 19
→ 3t = 15
Finally, division of 3 on both sides will evaluate Teo’s age:
3t = 15
→ t = 5
We can plug in Teo’s age for t and solve for Richard’s age now:
(2t + 4) + t = 19
→ 2(5) + 4 + 5 = 19
10 + 4 + 5 = 19
Richard is 14 because 19 - 5 = 14.
Answer Recap: Richard’s age is 14, and Teo’s age is 5.