Vaidev had a total of 184 mangoes and lemons. He sold
13 of the lemons and bought another 25 mangoes. In the end, the number of mangoes he had was
13 the number of lemons. How many more lemons than mangoes did he have at first?
| |
Mangoes |
Lemons |
Total |
Before
|
2 u - 25
|
3x3 =
9 u |
184 |
Change |
+ 25 |
- 1x3 =
3 u |
|
| After |
|
2x3 =
6 u |
|
Comparing between
mangoes and lemons |
1x2 =
2 u |
3x2 =
6 u |
|
The number of lemons in the end is repeated. Make the number of lemons in the end the same. LCM of 2 and 3 is 6.
Total number of mangoes and lemons at first
= 2 u - 25 + 9 u
= 11 u - 25
11 u - 25 = 184
11 u = 184 + 25
11 u = 209
1 u = 209 ÷ 11 = 19
Number of more lemons than mangoes at first
= 9 u - (2 u - 25)
= 9 u - 2 u + 25
= 7 u + 25
= 7 x 19 + 25
= 133 + 25
= 158
Answer(s): 158
