University:
University of Cambridge
Course:
0580 IGCSE | Mathematics
Academic year:

2023
Views:

275

Pages:

2
Author:

Shahbaz A.

Q66 Algebra Word Problems Packet No 1 shahbaz ahmed August 2024 Q 66.A man is 35 years old, and his son is 7 years old. In how many years will the father be 3 times as old as his son will be then? Solution Let numbers of years when the father will be 3 times as old as his son=x years. Age of son after x years=x+7 years. 3 times as old as his son =3(x+7) years. Age of father after x years= 3(x+7) years. Age of fathers after x years=x+35 years. According to the condition 3(x + 7) = x + 35 3x + 21 = x + 35 1 3x + 21 − 21 = x + 35 − 21 3x = x + 14 3x − x = x + 14 − x 2x = 14 x= 14 2 x = 7 years. Numbers of years when the father will be 3 times as old as his son= 7 years. Checking Age of father now=35 years After 7 years age of father will be=35+7=42 years. Age of son now= 7 years. After 7 years age of son will be.=7+7= 14 years. Now , according to the condition 3 times as old as his son,after 7 years = Age of father after 7 years. 3 × 14=42 42=42 All conditions are satisfied 2