Question

Richard and Teo have a combined age of 46. Richard is 13 years older than twice Teo's age. How old are Richard and Teo?

Answer 1

Given that Richard and Teo have a combined age of 46.

Richard is 13 years older than twice Teo's age.

We need to determine the age of Richard and Teo.

Equation:

Let x denote Richard's age.

Let y denote Teo's age.

Let us write the ages in the form of equation.

Thus, we have;

`x+y=46` and

`x=13+2y`

Solving the equations:

The ages of Richard and Teo can be determined by solving the two equations using substitution method.

Hence, substituting
`x=13+2y` in the equation
`x+y=46`, we get;

`13+2y+y=46`

`13+3y=46`

`3y=33`

`y=11`

Thus, the value of y is 11.

Now, substituting
`y=11` in the equation
`x+y=46`, we get;

`x+11=46`

`x=35`

Thus, the value of x is 35.

Age of Richard and Teo:

Thus, the values of x and y are 35 and 11 respectively.

Since, x denote Richard's age and y denote Teo's age, substituting the values, we have;

The age of Richard is 35 years old and the age of Teo is 11 years old.