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lopez5628
25.06.2020 •
Mathematics
In the problem RSM × RS × R=2030 each letter stands for a different digit. Find the 3-digit number RSM. Please answer soon!
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Ответ:
145
Step-by-step explanation:
R S M = 145
It seems that someone already gave the correct answer for this, but I'll add an explanation in case you're curious!
1. So, we can write it out as:
R S M
R S (make sure you don't simplify it
x R as R^3*S^2*M, as each letter here
stands for an individual digit in a number)
2030
2. The only possible value of R is 1, because any other value would be too big. (For example, 213*21*2=8946), for the sake of simplicity so let's write it as:
R S M
x R S
2030
3. Notice how the last digit in 2030 is 0? That means either M or S =5.
5*2 has a last digit of 0, so let's try that out. Let's sub it in to get 125*12=1500. That's too small, so let's try again.
5*4 also has a last digit of 0. Let's plug that in: 145*14=2030. Yay!
4. In conclusion, RSM*RS*R --- > 145*14*1=2030, so RSM = 145
Hope this helped you :)
Ответ: