The sum of ages of a man and his son is 57 years. If the man's age exceeds 2 times his son's age by 9 years, find the age of each of them.
Let the age of the man be denoted by and the age of the son be
denoted by . If the sum of their ages is 57, then
If the man's age exceeds twice his son's age by 9 years, then
These two equations can now be solved using the omitting method.
Substituting the expression for into the first equation gives
Substituting this value of into the equation for gives
Therefore, the man and his son are 41 years old and 16 years old