Archie bought some lemons and guavas in the ratio of 1 : 3 . After buying another 60 fruits each, the ratio becomes 8 : 9. Find the number of lemons and guavas he had at first.
| |
Lemons |
Guavas |
Difference |
| Before |
1x1 =
1 u |
3x1 =
3 u |
2x1 =
2 u |
| Change |
+ 60 |
+ 60 |
|
| After |
8x2 =
16 u |
9x2 =
18 u |
1x2 =
2 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of lemons and guavas at first and in the end remains unchanged.
Make the difference in the number of lemons and guavas the same. LCM of 2 and 1 is 2.
Increase in the number of lemons
= 16 u - 1 u
= 15 u
15 u = 60
1 u = 60 ÷ 15 = 4
Number of guavas and lemons that Archie had at first
= 1 u + 3 u
= 4 u
= 4 x 4
= 16
Answer(s): 16
