Answer:
Your son's age is 10, you're 59.
Step-by-step explanation:
let x be the age of your son.
We can define your age using the givens in the question.
Your age is "9 years more than 5 times the age of your son", therefore your age can be defined as 5x + 9.
The sum of your ages is 69, so we can construct an equation using the sum of your ages and equalize it to 69.
[tex]x + (5x + 9) = 69\\(1 + 5)x + 9 = 69\\6x + 9 = 69 \text{ //}-9\\6x + 9 - 9 = 69 - 9\\6x = 60 \text{ //}\div6\\\frac{6x}6 = \frac{60}6\\x = 10[/tex]
Your son's age is 10 years old.
Your age can be found by substituting x = 10 into 5x + 9.
[tex]x = 10 \to 5x + 9\\\\5 \times 10 + 9 = 50 + 9 = 59[/tex]
