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

2023
Views:

459

Pages:

3
Author:

Shahbaz A.

Q 63 Algebra Word Problems Packet No 1 shahbaz ahmed August 2024 Q 63.Jamie is 3 years less than three times Jessie’s age. In five years the sum of their ages will be 59. How old are they now? Solution Let Jessie’s age=x years. Three times Jessie’s age=3x years. 3 years less than three times Jessie’s age.=3x-3 years. Age of Jamie= 3x-3 years. In five years, Jessie’s age=x+5 years. In five years, Age of Jamie= 3x-3+5=3x+2 years. In five years, sum of their ages=x+5+3x+2=4x+7 years In five years, sum of their ages=59 years. According to the condition. 1 4x + 7 = 59 4x + 7 − 7 = 59 − 7 4x = 52 x= 52 4 x = 13 years. Jessie’s age=13 years. Putting in Age of Jamie= 3x-3 years. =⇒ Age of Jamie= 3(13)-3=36 years. Age of Jamie= 36 years Checking Jessie’s age=13 years. Three times Jessie’s age=3(13)=39 years. 3 years less than three times Jessie’s age.=39-3=36 years. Age of Jamie= 36 years. In five years, Jessie’s age=13+5=18 years. In five years, Age of Jamie= 36+5=41 years. In five years, sum of their ages=18+41=59 years 2 In five years, sum of their ages=59 years. All conditions are satisfied 3