The age of Japheth is
58 of Tommy's age. 50 years later, the ratio of Japheth's age to Tommy's age is 5 : 6. How old is Tommy at first?
| |
Japheth |
Tommy |
Difference |
| Before |
5 u |
8 u |
3 u |
| Change |
+ 50 |
+ 50 |
|
| After |
5x3 =
15 u |
6x3 =
18 u |
1x3 =
3 u |
The difference in the age between Japheth and Tommy at first and in the end remains unchanged. Make the difference in the age between Japheth and Tommy the same. LCM of 3 and 1 is 3.
Increase in Japheth's age
= 15 u - 5 u
= 10 u
10 u = 50
1 u = 50 ÷ 10 = 5
Tommy's age at first
= 8 u
= 8 x 5
= 40
Answer(s): 40
