Albert's current age is 7 times as old as Dylan's age years ago. Today, Dylan's age is Albert's age the same number of years ago. How old is Dylan's age now if the total of their current age is 33?
| |
Albert |
Dylan |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
33 |
Total age of Albert and Dylan today = 7 u + 1 p
7 u + 1 p = 33 --- (1)
The difference in Albert's age and Dylan'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 = 33
7 u + 4 u = 33
11 u = 33
1 u = 33 ÷ 11 = 3
Albert's age now
= 33 - 7 u
= 33 - 7 x 3
= 33 - 21
= 12
Answer(s): 12
