Question

Delaney is asked about her age. She answers as follows. "My age is 9 years more than four times the age of my son. The sum of our ages is 59 years."

Answer 1

Answer:

Let the son's age be $x$ years. Then, Delaney's age will be $(4x+9)$ years.

According to the question:

$(4x+9) + x = 59$

⇒ $5x + 9 = 59$

⇒ $5x = 50$

⇒ $x = 10$

Hence, the son's age is 10 years and Delaney's age is 49 years.