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In the problem RSM × RS × R=2030 each letter stands for a different digit. Find the 3-digit number RSM. Please answer soon!

1 Answer

4 votes

Answer:

145

Explanation:

Answer: 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 :)

User Grismar
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