Q. A father is 30 years older than his son. In 10 years, the father will be three times as old as the son. How old are they now?
B) 10 and 40
Let x be the son’s age, and y be the father’s age. Then we have:
• y = x + 30 (the father is 30 years older than the son)
• y + 10 = 3(x + 10) (in 10 years, the father will be three times as old as the son)
To solve for x and y, I substituted the first equation into the second one, and got:
• (x + 30) + 10 = 3(x + 10)
• Simplifying and rearranging, I got:
• x = 10
Then I plugged x = 10 into the first equation, and got:
• y = 10 + 30
• y = 40
So the son is 10 years old, and the father is 40 years old.