Ben is 7 years older than Fabian. 10 years ago, the sum of their age was 65. How old is Ben now?
| |
Ben |
Fabian |
Difference |
Total |
| Before |
1 u + 7 |
1 u |
7 |
65 |
| Change |
+ 10 |
+ 10 |
|
+ 20 |
| After |
1 u + 17 |
1 u + 10 |
7 |
2 u + 27 |
The difference in the age between Ben and Fabian remains unchanged.
Fabian's current age = 1 u
Ben's current age = 1 u + 7
Combined age of Ben and Johny 10 years ago
= 1 u + 1 u + 7
= 2 u + 7
2 u + 7 = 65
2 u = 65 - 7
2 u = 58
1 u = 58 ÷ 2 = 29
Ben's current age
= 1 u + 17
= 29 + 17
= 46
Answer(s): 46
