Zeph bought some guavas and peaches in the ratio of 2 : 5 . After buying another 55 fruits each, the ratio becomes 7 : 12. Find the number of guavas and peaches he had at first.
| |
Guavas |
Peaches |
Difference |
| Before |
2x5 =
10 u |
5x5 =
25 u |
3x5 =
15 u |
| Change |
+ 55 |
+ 55 |
|
| After |
7x3 =
21 u |
12x3 =
36 u |
5x3 =
15 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of guavas and peaches at first and in the end remains unchanged.
Make the difference in the number of guavas and peaches the same. LCM of 3 and 5 is 15.
Increase in the number of guavas
= 21 u - 10 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Number of peaches and guavas that Zeph had at first
= 10 u + 25 u
= 35 u
= 35 x 5
= 175
Answer(s): 175
