2021 JMPSC Accuracy Problems/Problem 7
If , , and each represent a single digit and they satisfy the equation find .
Notice that can only be , , and . However, and are not divisible by , so Thus,
Clearly we see does not work, but works with simple guess-and-check. We have , so and . The answer is
Easily, we can see that . Therefore,We can see that must be or . If , thenThis doesn't work because isn't divisible by . If , thenTherefore, . So, we have .
- kante314 -
Notice that the only values of that have for some are and . If , then we have , and so . Notice that is not divisible by , so is not a valid solution. Next, when , we have that . Solving for and tells us that and , so the answer is .
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