ABC x 3 = BBB
148
To solve the equation ABC x 3 = BBB, we need to find the value of the variable ABC.
To start, let's consider the place value of each letter in the equation:
A represents the hundreds place,
B represents the tens place,
C represents the ones place.
Since we are multiplying ABC by 3, we need to find a number that, when multiplied by 3, will result in the value BBB.
In the equation, BBB represents a three-digit number. Therefore, the value of B must be at least 3, since the minimum three-digit number is 100, and 3 x 3 = 9. So, B can be 3, 4, 5, 6, 7, 8, or 9.
Now, let's consider the multiplication:
The ones place, C, when multiplied by 3, should give the ones place, B.
So, we need to find the value of C that satisfies the equation B = C x 3.
Since B can be 3, 4, 5, 6, 7, 8, or 9, we need to check each value.
For B = 3: C x 3 = 3
C = 1
For B = 4: C x 3 = 4
C = Not possible, as there is no whole number that, when multiplied by 3, gives 4.
For B = 5: C x 3 = 5
C = Not possible, as there is no whole number that, when multiplied by 3, gives 5.
For B = 6: C x 3 = 6
C = 2
For B = 7: C x 3 = 7
C = Not possible, as there is no whole number that, when multiplied by 3, gives 7.
For B = 8: C x 3 = 8
C = Not possible, as there is no whole number that, when multiplied by 3, gives 8.
For B = 9: C x 3 = 9
C = Not possible, as there is no whole number that, when multiplied by 3, gives 9.
So, the only possible solution is B = 3 and C = 1.
Therefore, ABC = 310.
What is the question?
3 has to go into BBB evenly
which means B is 3, or 6, or 9, or 0
But in each of those cases, the result is 111,222, or 333
None of those has three different digits ABC