Richard is 14 years old and Teo is 6 years old.
Step-by-step explanation:
Let,
Richard's age = x
Teo's age = y
Combined age = 20 years
According to given statement;
x+y=20 Eqn 1
x = 2y+2 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex](2y+2)+y=20\\2y+2+y=20\\3y=20-2\\3y=18[/tex]
Dividing both sides by 3
[tex]\frac{3y}{3}=\frac{18}{3}\\y=6[/tex]
Putting y=6 in Eqn 2
[tex]x=2(6)+2\\x=12+2\\x=14[/tex]
Richard is 14 years old and Teo is 6 years old.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
