Sam is 8 years old. His uncle is 34 years older than him. In how many years will Sam's uncle be 3 times as old as Sam?
| |
His uncle |
Sam |
Difference |
| Before |
42 |
8 |
34 |
| Change |
+ ? |
+ ? |
|
| After |
3 u |
1 u |
2 u |
The difference in the age between Sam and his uncle at first and in the end remains the same.
Difference in the age between Sam and his uncle
= 3 u - 1 u
= 2 u
2 u = 34
1 u = 34 ÷ 2 = 17
The increase in age of Sam and his uncle remains the same.
Number of years' time so Sam's uncle will be 3 times as old as Sam
= 17 - 8
= 9
Answer(s): 9
