Question

Richard and Teo have a combined age of 20. Richard is 2 years older than twice Teo’s age. How old are Richard and Teo?

Answer 1

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

$(2y+2)+y=20\\2y+2+y=20\\3y=20-2\\3y=18$

Dividing both sides by 3

$\frac{3y}{3}=\frac{18}{3}\\y=6$

Putting y=6 in Eqn 2

$x=2(6)+2\\x=12+2\\x=14$

Richard is 14 years old and Teo is 6 years old.

Keywords: linear equation, substitution method

Learn more about substitution method at:

• brainly.com/question/3950386
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