The age of Brandon is
58 of John's age. 12 years later, the ratio of Brandon's age to John's age is 3 : 4. How old is John at first?
|
Brandon |
John |
Difference |
Before |
5 u |
8 u |
3 u |
Change |
+ 12 |
+ 12 |
|
After |
3x3 = 9 u |
4x3 = 12 u |
1x3 = 3 u |
The difference in the age between Brandon and John at first and in the end remains unchanged. Make the difference in the age between Brandon and John the same. LCM of 3 and 1 is 3.
Increase in Brandon's age
= 9 u - 5 u
= 4 u
4 u = 12
1 u = 12 ÷ 4 = 3
John's age at first
= 8 u
= 8 x 3
= 24
Answer(s): 24