Reggie is 4 years old. His uncle is 26 years older than him. In how many years will Reggie's uncle be 3 times as old as Reggie?
| |
His uncle |
Reggie |
Difference |
| Before |
30 |
4 |
26 |
| Change |
+ ? |
+ ? |
|
| After |
3 u |
1 u |
2 u |
The difference in the age between Reggie and his uncle at first and in the end remains the same.
Difference in the age between Reggie and his uncle
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
The increase in age of Reggie and his uncle remains the same.
Number of years' time so Reggie's uncle will be 3 times as old as Reggie
= 13 - 4
= 9
Answer(s): 9
