Albert's age is
14 of his granduncle's. His granduncle will be 50 years old in 10 years' time. In how many years' time will Albert's age be
710 that of his granduncle's?
|
Albert |
His granduncle |
Difference |
Before |
1x1 = 1 u |
4x1 = 4 u |
3x1 = 3 u |
Change 1 |
+ 10 |
+ 10 |
|
After |
|
50 |
|
Change 2 |
+ ? |
+ ? |
|
After 2 |
7x1 = 7 u |
10x1 = 10 u |
3x1 = 3 u |
The age difference between Albert and his granduncle remains unchanged.
LCM of 3 and 3 is 3.
4 u + 10 = 50
4 u = 50 - 10
4 u = 40
1 u = 40 ÷ 4 = 10
Number of years' time when Albert's age will be
710 that of his granduncle's age
= 7 u - 1 u
= 6 u
= 6 x 10
= 60
Answer(s): 60