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;
and
Solving the equations:
The ages of Richard and Teo can be determined by solving the two equations using substitution method.
Hence, substituting
in the equation
, we get;
Thus, the value of y is 11.
Now, substituting
in the equation
, we get;
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.