Jenson's current age is 7 times as old as Wesley's age years ago. Today, Wesley's age is Jenson's age the same number of years ago. How old is Wesley's age now if the total of their current age is 44?
| |
Jenson |
Wesley |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
44 |
Total age of Jenson and Wesley today = 7 u + 1 p
7 u + 1 p = 44 --- (1)
The difference in Jenson's age and Wesley'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 = 44
7 u + 4 u = 44
11 u = 44
1 u = 44 ÷ 11 = 4
Jenson's age now
= 44 - 7 u
= 44 - 7 x 4
= 44 - 28
= 16
Answer(s): 16
