Usha and Lynn have some buttons. If Usha gives 33 buttons to Lynn, Lynn will have 3 times the number of buttons as Usha. If Lynn gives 3 buttons to Usha, Usha will have
23 as many buttons as Lynn. How many buttons does Usha have at first?
| |
Case 1 |
Case 2 |
| |
Usha |
Lynn |
Usha |
Lynn |
| Before |
5 u + 33 |
15 u - 33 |
8 u - 3 |
12 u + 3 |
| Change |
- 33 |
+ 33 |
+ 3 |
- 3 |
| After |
1x5 =
5 u |
3x5 =
15 u |
2x4 =
8 u |
3x4 =
12 u |
The total number of buttons in both cases remains unchanged. Make the total number of buttons in both cases the same. LCM of 4 and 5 is 20.
Number of buttons that Usha had at first is the same in both cases.
8 u - 3 = 5 u + 33
8 u - 5 u = 33 + 3
3 u = 36
1 u = 12
Number of buttons that Usha had at first
= 5 u + 33
= 5 x 12 + 33
= 60 + 33
= 93
Answer(s): 93
