Ahmad bought some dragonfruits and lemons in the ratio of 1 : 4 . After buying another 69 fruits each, the ratio becomes 8 : 9. Find the number of dragonfruits and lemons he had at first.
| |
Dragonfruits |
Lemons |
Difference |
| Before |
1x1 =
1 u |
4x1 =
4 u |
3x1 =
3 u |
| Change |
+ 69 |
+ 69 |
|
| After |
8x3 =
24 u |
9x3 =
27 u |
1x3 =
3 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of dragonfruits and lemons at first and in the end remains unchanged.
Make the difference in the number of dragonfruits and lemons the same. LCM of 3 and 1 is 3.
Increase in the number of dragonfruits
= 24 u - 1 u
= 23 u
23 u = 69
1 u = 69 ÷ 23 = 3
Number of lemons and dragonfruits that Ahmad had at first
= 1 u + 4 u
= 5 u
= 5 x 3
= 15
Answer(s): 15
