Rael bought some chikoos and persimmons in the ratio of 2 : 5 . After buying another 51 fruits each, the ratio becomes 7 : 9. Find the number of chikoos and persimmons he had at first.
| |
Chikoos |
Persimmons |
Difference |
| Before |
2x2 =
4 u |
5x2 =
10 u |
3x2 =
6 u |
| Change |
+ 51 |
+ 51 |
|
| After |
7x3 =
21 u |
9x3 =
27 u |
2x3 =
6 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of chikoos and persimmons at first and in the end remains unchanged.
Make the difference in the number of chikoos and persimmons the same. LCM of 3 and 2 is 6.
Increase in the number of chikoos
= 21 u - 4 u
= 17 u
17 u = 51
1 u = 51 ÷ 17 = 3
Number of persimmons and chikoos that Rael had at first
= 4 u + 10 u
= 14 u
= 14 x 3
= 42
Answer(s): 42
