Luis bought some pomegranates and lemons in the ratio of 2 : 5 . After buying another 102 fruits each, the ratio becomes 7 : 9. Find the number of pomegranates and lemons he had at first.
| |
Pomegranates |
Lemons |
Difference |
| Before |
2x2 =
4 u |
5x2 =
10 u |
3x2 =
6 u |
| Change |
+ 102 |
+ 102 |
|
| 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 pomegranates and lemons at first and in the end remains unchanged.
Make the difference in the number of pomegranates and lemons the same. LCM of 3 and 2 is 6.
Increase in the number of pomegranates
= 21 u - 4 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Number of lemons and pomegranates that Luis had at first
= 4 u + 10 u
= 14 u
= 14 x 6
= 84
Answer(s): 84
