Neave's current age is 5 times as old as Bryan's age years ago. Today, Bryan's age is Neave's age the same number of years ago. How old is Neave's age now if the total of their current age is 72?
| |
Neave |
Bryan |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
5 u |
1 p |
5 u - 1 p |
72 |
Total age of Neave and Bryan today = 5 u + 1 p
5 u + 1 p = 72 --- (1)
The difference in Neave's age and Bryan's age remains the same.
5 u - 1 p = 1 p - 1 u
5 u + 1 u = 1 p + 1 p
6 u = 2 p
3 u = 1 p
Substitute 1 p = 3 u into (1).
5 u + 1 p = 72
5 u + 3 u = 72
8 u = 72
1 u = 72 ÷ 8 = 9
Neave's age now
= 5 u
= 5 x 9
= 45
Answer(s): 45
