Question

Richard and Teo have a combined age of 43. Richard is 10 years older than twice​ Teo's age. How old are Richard and​ Teo?

Answer 1

Richard is 32 years old and Teo is 11 years old.

Step-by-step explanation:

Combined age of Richard and Teo = 43

Let,

Richard's age = x

Teo's age = y

According to given statement;

x+y=43      Eqn 1

x = 2y+10    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(2y+10)+y=43\\2y+10+y=43\\3y=43-10\\3y=33$

Dividing both sides by 3

$\frac{3y}{3}=\frac{33}{3}\\y=11$

Putting y=11 in Eqn 2

$x=2(11)+10\\x=22+10\\x=32$

Richard is 32 years old and Teo is 11 years old.

Keywords: word problem, linear equation

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