Ben is 3 years old. His uncle is 32 years older than him. In how many years will Ben's uncle be 3 times as old as Ben?
| |
His uncle |
Ben |
Difference |
| Before |
35 |
3 |
32 |
| Change |
+ ? |
+ ? |
|
| After |
3 u |
1 u |
2 u |
The difference in the age between Ben and his uncle at first and in the end remains the same.
Difference in the age between Ben and his uncle
= 3 u - 1 u
= 2 u
2 u = 32
1 u = 32 ÷ 2 = 16
The increase in age of Ben and his uncle remains the same.
Number of years' time so Ben's uncle will be 3 times as old as Ben
= 16 - 3
= 13
Answer(s): 13
