Each letter in the subtraction problem below represents a different digit from 0 through 9.The digits 3 and 5 don't apear. replace each letter so the subtraction problem is true. GRAPE - PLUM =APPLE
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http://www.blurtit.com/q533817.html
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http://www.blurtit.com/q960823.html
To solve this problem, we need to systematically assign different digits from 0 through 9 to each letter in the subtraction problem GRAPE - PLUM = APPLE until we find a combination that makes the equation true.
Here's the step-by-step process:
1. Start by assigning digits to the variables. Let's begin with the assumption that G represents 9.
GRAPE - PLUM = APPLE
9____ - ____ = _____
2. Since G is 9, it cannot carry over any value when subtracting from P. Therefore, P must be greater than or equal to 9. Let's assume P represents 9.
9____ - 9___ = _____
3. Now we need to check if this configuration is valid. Let's evaluate the rightmost column (E - M = E). In order for E - M to equal E, M cannot be greater than or equal to E. So let's assume M represents 7.
9____ - 9___ = __7__
4. Now we'll calculate the next column (P - L = P + 1). In this case, P is 9 and L must be 8 to satisfy this condition.
9____ - 98__ = __7__
5. Moving on to the third column (E - U = L), we have E = 9 and U < L. The only available digit that satisfies this is U = 6.
9____ - 986_ = __7__
6. In the fourth column (A - P = P), A must be greater than P since there's no possibility of carrying over values. We'll assign A the value of 2.
92___ - 986_ = __7__
7. Finally, we'll evaluate the leftmost column (G - nothing = nothing). Since we've used digits 2, 6, 7, 8, and 9, the only remaining digit is 4.
924__ - 986_ = __74_
Therefore, the answer is GRAPE - PLUM = APPLE, where G = 9, R = 2, A = 2, P = 9, E = 9, L = 8, U = 6, and M = 7.
Let's solve the subtraction problem step by step. We'll start by replacing the letters with digits.
GRAPE - PLUM = APPLE
We'll assign the letters with the following digits:
G = 9
R = 8
A = 7
P = 6
E = 4
L = 2
U = 1
M = 0
Now let's substitute these digits into the equation:
97846 - 2160 = 75786
The subtraction problem is now:
75786 = APPLE
So, by replacing the letters with digits, the subtraction problem is true.