Neave's current age is 3 times as old as Simon's age years ago. Today, Simon'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 50?
| |
Neave |
Simon |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
3 u |
1 p |
3 u - 1 p |
50 |
Total age of Neave and Simon today = 3 u + 1 p
3 u + 1 p = 50 --- (1)
The difference in Neave's age and Simon's age remains the same.
3 u - 1 p = 1 p - 1 u
3 u + 1 u = 1 p + 1 p
4 u = 2 p
2 u = 1 p
Substitute 1 p = 2 u into (1).
3 u + 1 p = 50
3 u + 2 u = 50
5 u = 50
1 u = 50 ÷ 5 = 10
Neave's age now
= 3 u
= 3 x 10
= 30
Answer(s): 30
