Eric's age is
37 of his granduncle's. His granduncle will be 65 years old in 2 years' time. In how many years' time will Eric's age be
12 that of his granduncle's?
|
Eric |
His granduncle |
Difference |
Before |
3x1 = 3 u |
7x1 = 7 u |
4x1 = 4 u |
Change 1 |
+ 2 |
+ 2 |
|
After |
|
65 |
|
Change 2 |
+ ? |
+ ? |
|
After 2 |
1x4 = 4 u |
2x4 = 8 u |
1x4 = 4 u |
The age difference between Eric and his granduncle remains unchanged.
LCM of 4 and 1 is 4.
7 u + 2 = 65
7 u = 65 - 2
7 u = 63
1 u = 63 ÷ 7 = 9
Number of years' time when Eric's age will be
12 that of his granduncle's age
= 4 u - 3 u
= 1 u
= 1 x 9
= 9
Answer(s): 9