Problema Solution
The sum of the ages of Brendan and Ashton is 118 years. 9 years ago, Brendan's age was 4 times Ashton's age. How old is Brendan now?
Answer provided by our tutors
Let
x = Ashton's present age
y = Brendan's present age
9 years ago Ashton was x - 9 years old.
9 years ago Brendan was y - 9 years old.
The sum of their ages is 118 years:
x + y = 118
9 years ago, Brendan's age was 4 times Ashton's age means:
y - 9 = 4(x - 9)
We have the following system of equations:
x + y = 118
y - 9 = 4(x - 9)
........
click here to see the system of equations solved for x and y
........
x = 29 years
y = 89 years
Brendan is 89 years old now.