If EVER + SINCE = DARWIN, then what is the value of R*I?Choices:- 21 25 34 46
Question
If EVER + SINCE = DARWIN, then what is the value of R*I?Choices:- 21 25 34 46
Solution
This is a cryptarithm, a number-based puzzle. The goal is to find the digits that make the equation true. The digits 0-9 are each represented by a different letter. The same letter represents the same digit and no two letters represent the same digit.
The word "DARWIN" has six letters, so it must represent a six-digit number. Since "EVER" and "SINCE" are both five-letter words, the sum of these two numbers must be a number slightly over 100,000.
The only way for this to happen is if E + S = 10 or more. This means that E and S must be 5 or greater.
Since D is the first digit of a six-digit number, D must be 1. This means that E + S must be 11, so one of them must be 5 and the other 6.
Since E is the first digit of a five-digit number, E must be the larger of the two, so E = 6 and S = 5.
This means that R + N = 10 or more. Since R is the first digit of a five-digit number, R must be 5 or greater.
Since S = 5, R must be 5 or greater but less than 10. The only digit that fits this description is 6, so R = 6.
This means that N = 10 - R = 4.
Since I is the second digit of a five-digit number and the second digit of a six-digit number, I must be 0.
So, RI = 60 = 0.
Therefore, the value of R*I is 0.
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