Question

Richard and Teo have a combined age of 21. Richard is 3 years older than twice Teo’s age. How old are Richard and Teo?

Answer 1

Answer:

Richard's age = 15

Teo's age = 6

Step-by-step explanation:

Let's say Teo's age is x.

Then, we will get this very equation.

$3 + 2x$

The equation above is Richard's age.

$x + 2x + 3 = 21$

This equation is their ages conbined.

Now, let's solve the equation.

Collect like terms.

$3x + 3 = 21$

Move the constant. ( Which is 3, in this case. )

$3x = 21 - 3$

Calculate.

$3x = 18$

Because we want only "x", divide both sides of the equation by 3.

$x = 6$

As I have said above, "x" is Teo's age.

Let's find Richard's.

It is:

2x + 3

x is 6.

(2 x 6) + 3

12 + 3

15 ( Richard's age.)

I hope it helps.