Xavier is 9 years older than Sam. 8 years ago, the sum of their age was 55. How old is Sam now?
| |
Xavier |
Sam |
Difference |
Total |
| Before |
1 u + 9 |
1 u |
9 |
55 |
| Change |
+ 8 |
+ 8 |
|
+ 16 |
| After |
1 u + 17 |
1 u + 8 |
9 |
2 u + 25 |
The difference in the age between Xavier and Sam remains unchanged.
Sam's current age = 1 u
Xavier's current age = 1 u + 9
Combined age of Xavier and Johny 8 years ago
= 1 u + 1 u + 9
= 2 u + 9
2 u + 9 = 55
2 u = 55 - 9
2 u = 46
1 u = 46 ÷ 2 = 23
Sam's current age
= 1 u + 8
= 23 + 8
= 31
Answer(s): 31
