WE = YOU - SEE. Given, E = 2, W = 9, Y = 7. Find S.
2024
WE = YOU - SEE. Given, E = 2, W = 9, Y = 7. Find S.
- A.
1
- B.
5
- C.
6
- D.
7
Show answer & explanation
Correct answer: C
In a cryptarithmetic (alphametic) addition, each letter denotes a unique digit, and the equation is solved by adding column by column from the units place, carrying over any excess of 10 to the next column exactly as in ordinary addition.
Write the sum vertically: SEE + WE = YOU, aligning units, tens and hundreds columns.
Units column: E + E = 2 + 2 = 4, so U = 4, with no carry since 4 is a single digit.
Tens column: E + W = 2 + 9 = 11, so O = 1 and a carry of 1 passes into the hundreds column.
Hundreds column: S + carry(1) = Y. Since Y = 7, S + 1 = 7, giving S = 6.
Cross-check: substituting all digits gives SEE = 622 and WE = 92; 622 + 92 = 714, and YOU = 714 with Y = 7, O = 1, U = 4 — consistent with every digit derived above, confirming S = 6.
