Brandon's current age is 7 times as old as Caden's age years ago. Today, Caden's age is Brandon's age the same number of years ago. How old is Brandon's age now if the total of their current age is 88?
| |
Brandon |
Caden |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
88 |
Total age of Brandon and Caden today = 7 u + 1 p
7 u + 1 p = 88 --- (1)
The difference in Brandon's age and Caden's age remains the same.
7 u - 1 p = 1 p - 1 u
7 u + 1 u = 1 p + 1 p
8 u = 2 p
4 u = 1 p
Substitute 1 p = 4 u into (1).
7 u + 1 p = 88
7 u + 4 u = 88
11 u = 88
1 u = 88 ÷ 11 = 8
Brandon's age now
= 7 u
= 7 x 8
= 56
Answer(s): 56
