Luke is 11 years older than John. 10 years ago, the sum of their age was 63. How old is Luke now?
| |
Luke |
John |
Difference |
Total |
| Before |
1 u + 11 |
1 u |
11 |
63 |
| Change |
+ 10 |
+ 10 |
|
+ 20 |
| After |
1 u + 21 |
1 u + 10 |
11 |
2 u + 31 |
The difference in the age between Luke and John remains unchanged.
John's current age = 1 u
Luke's current age = 1 u + 11
Combined age of Luke and Johny 10 years ago
= 1 u + 1 u + 11
= 2 u + 11
2 u + 11 = 63
2 u = 63 - 11
2 u = 52
1 u = 52 ÷ 2 = 26
Luke's current age
= 1 u + 21
= 26 + 21
= 47
Answer(s): 47
