Harry and Ivan gave away the same number of erasers. Harry gave away
35 of his erasers while Ivan gave
49 of his erasers away. Given that Harry had 14 erasers less than Ivan at first, how many erasers did Harry have at first?
|
Harry |
Ivan |
Before |
5x4 = 20 u |
9x3 = 27 u |
Change |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
After |
2x4 = 8 u |
5x3 = 15 u |
The number of erasers that Harry and Ivan gave away is the same. Make the number of erasers that Harry and Ivan gave away the same. LCM of 3 and 4 is 12.
Number of erasers that Harry had at first = 20 u
Number of erasers that Ivan had at first = 27 u
Number of erasers that Harry had less than Ivan at first
= 27 u - 20 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Number of erasers that Harry had at first
= 20 u
= 20 x 2
= 40
Answer(s): 40