Last Tuesday, Ahmad had twice as many coins as Ethan. Today, Ahmad gives 10 of his coins to his brother. Now, Ethan has thrice as many coins as Ahmad. How many coins does Ethan have?
| |
Ahmad |
Ethan |
| Before |
2x3 =
6 u |
1x3 =
3 u |
| Change |
- 10 |
|
| After |
1 u |
3 u |
The number of coins that Ethan had at first and in the end remains unchanged. Make the number of coins that Ethan has the same. LCM of 1 and 3 is 3.
Number of coins that Ahmad gives to his brother
= 6 u - 1 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Number of coins that Ethan has
= 3 u
= 3 x 2
= 6
Answer(s): 6
