Question 26
Linear and Simultaneous EquationsThe ages of a parent and child add up to 39 years. In 3 years the parent will be 4 times as old as the child. Find the ages of the parent and the child. Assuming the age of the parent and child are x and y respectively
- A.x = 33 years, y = 6 years
- B.x = 30 years, y = 5 years
- C.x = 32 years, y = 4 years
- D.x = 34 years, y = 7 years
Show the answer and explanation
Answer: A (x = 33 years, y = 6 years)
Explanation
x + y = 39 and x + 3 = 4(y + 3) give 5y = 30, so y = 6 and x = 33.