Yesterday, there were twice as many ducks as sheep on a farm. Today, 45 ducks are sold. There are thrice as many sheep now. Find the total number of sheep and ducks on the farm yesterday.
| |
Ducks |
Sheep |
Total |
| Before |
2x3 =
6 u |
1x3 =
3 u |
9 u |
| Change |
- 45 |
|
|
| After |
1 u |
3 u |
|
The number of sheep at first and in the end remains unchanged. Make the number of sheep the same. LCM of 1 and 3 is 3.
Number of ducks sold
= 6 u - 1 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Total number of sheep and ducks yesterday
= 6 u + 3 u
= 9 u
= 9 x 9
= 81
Answer(s): 81
