Zeph bought some mangoes and dragonfruits in the ratio of 1 : 4 . After buying another 92 fruits each, the ratio becomes 8 : 9. Find the number of mangoes and dragonfruits he had at first.
| |
Mangoes |
Dragonfruits |
Difference |
| Before |
1x1 =
1 u |
4x1 =
4 u |
3x1 =
3 u |
| Change |
+ 92 |
+ 92 |
|
| 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 mangoes and dragonfruits at first and in the end remains unchanged.
Make the difference in the number of mangoes and dragonfruits the same. LCM of 3 and 1 is 3.
Increase in the number of mangoes
= 24 u - 1 u
= 23 u
23 u = 92
1 u = 92 ÷ 23 = 4
Number of dragonfruits and mangoes that Zeph had at first
= 1 u + 4 u
= 5 u
= 5 x 4
= 20
Answer(s): 20
