Archie bought some mangoes and guavas in the ratio of 1 : 3 . After buying another 90 fruits each, the ratio becomes 8 : 9. Find the number of mangoes and guavas he had at first.
| |
Mangoes |
Guavas |
Difference |
| Before |
1x1 =
1 u |
3x1 =
3 u |
2x1 =
2 u |
| Change |
+ 90 |
+ 90 |
|
| 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 mangoes and guavas at first and in the end remains unchanged.
Make the difference in the number of mangoes and guavas the same. LCM of 2 and 1 is 2.
Increase in the number of mangoes
= 16 u - 1 u
= 15 u
15 u = 90
1 u = 90 ÷ 15 = 6
Number of guavas and mangoes that Archie had at first
= 1 u + 3 u
= 4 u
= 4 x 6
= 24
Answer(s): 24
