Richard is 34 years old and Teo is 11 years old.
Step-by-step explanation:
Let,
Teo's age = x
Richard's age = y
According to given statement;
x+y=45 Eqn 1
y=2x+12 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
[tex]x+(2x+12)=45\\x+2x+12=45\\3x=45-12\\3x=33[/tex]
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{33}{3}\\x=11\\[/tex]
Putting x=11 in Eqn 1
[tex]11+y=45\\y=45-11\\y=34[/tex]
Richard is 34 years old and Teo is 11 years old.
Keywords: Linear equations, Substitution method.
Learn more about substitution method at:
- brainly.com/question/6270221
- brainly.com/question/6275033
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