The age of Gabriel is
23 of Michael's age. 6 years ago, the ratio of Gabriel's age to Michael's age was 4 : 7. How old is Michael now?
|
Gabriel |
Michael |
Difference |
Before |
4 u |
7 u |
3 u |
Change |
+ 6 |
+ 6 |
|
After |
2x3 = 6 u |
3x3 = 9 u |
1x3 = 3 u |
The difference in the age between Gabriel and Michael at first and in the end remains unchanged. Make the difference in the age between Gabriel and Michael the same. LCM of 3 and 1 is 3.
Increase in Gabriel's age
= 6 u - 4 u
= 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
Michael's age now
= 9 u
= 9 x 3
= 27
Answer(s): 27