Nick bought some mangoes and lemons in the ratio of 2 : 5 . After buying another 102 fruits each, the ratio becomes 7 : 9. Find the number of mangoes and lemons he has now.
| |
Mangoes |
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 mangoes and lemons at first and in the end remains unchanged.
Make the difference in the number of mangoes and lemons the same. LCM of 3 and 2 is 6.
Increase in the number of mangoes
= 21 u - 4 u
= 17 u
17 u = 102
1 u = 102 ÷ 17 = 6
Number of lemons and mangoes that $(Fred) has now
= 21 u + 27 u
= 48 u
= 48 x 6
= 288
Answer(s): 288
