Neave's age is
13 of his granduncle's. His granduncle will be 44 years old in 5 years' time. In how many years' time will Neave's age be
23 that of his granduncle's?
| |
Neave |
His granduncle |
Difference |
| Before |
1x1 =
1 u |
3x1 =
3 u |
2x1 =
2 u |
| Change 1 |
+ 5 |
+ 5 |
|
| After |
|
44 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
2x2 =
4 u |
3x2 =
6 u |
1x2 =
2 u |
The age difference between Neave and his granduncle remains unchanged.
LCM of 2 and 1 is 2.
3 u + 5 = 44
3 u = 44 - 5
3 u = 39
1 u = 39 ÷ 3 = 13
Number of years' time when Neave's age will be
23 that of his granduncle's age
= 4 u - 1 u
= 3 u
= 3 x 13
= 39
Answer(s): 39
