6RS
+RR4
PQPQ
P,Q,R and S represents four different digits. what digit does S represents?
(A)1
(B)2
(C)5
(D)6
(E)8
I think the answear is 6 but now sure. Am i correct? How do you figure this problem?
The answer is (E)8. The rest of the letters are as follows: P = 1, Q = 2, and R = 5.
658 + 554 = 1212
I used "trial and error" with the numbers you were given to work out this problem.
To solve this problem, you can use the method of trial and error to determine the values of the different letters.
Start with S as 1 and substitute the other letters with their corresponding values:
6RS
+RR4
PQPQ
Now, calculate the sum:
621
+555
1212
Since the sum is not correct (it should be 1212), S cannot be 1.
Next, try S as 2:
62R
+RR4
PQPQ
Calculate the sum again:
621
+554
1175
The sum is still not correct, so S cannot be 2.
Next, try S as 5:
65R
+RR4
PQPQ
Calculate the sum once more:
651
+554
1205
The sum is still not correct, so S cannot be 5.
Finally, try S as 8:
68R
+RR4
PQPQ
Calculate the sum:
681
+554
1235
The sum is not correct, so S cannot be 8.
Since we have exhausted all the possible values for S, we can conclude that S must be 6.
68R
+RR4
PQPQ
Calculate the sum one more time:
681
+654
1235
Now, the sum is correct, and S is indeed 6.
Therefore, the correct answer is (D)6.