The age of Japheth is
58 of David's age. 40 years later, the ratio of Japheth's age to David's age is 5 : 6. How old is David at first?
| |
Japheth |
David |
Difference |
| Before |
5 u |
8 u |
3 u |
| Change |
+ 40 |
+ 40 |
|
| After |
5x3 =
15 u |
6x3 =
18 u |
1x3 =
3 u |
The difference in the age between Japheth and David at first and in the end remains unchanged. Make the difference in the age between Japheth and David the same. LCM of 3 and 1 is 3.
Increase in Japheth's age
= 15 u - 5 u
= 10 u
10 u = 40
1 u = 40 ÷ 10 = 4
David's age at first
= 8 u
= 8 x 4
= 32
Answer(s): 32
