Problem Solving : Cryptarithmatic Problem 1 :Find the value of P from [ A L E * R U M = E R M P N E]
ALE * RUM ------------ W I N E W U W L E W W E -------------------- E R M P N E ______________ Here is the solution: 0 to 9 , 10 numbers Should be replaced with those following Characters A, L, E, R, U, M, W, I, N, P so 10 characters replaced with 10 digits from 0 to 9 Consider M * ALE = WINE and U * ALE = WUWL and R * ALE = EWWE See in last R *ALE = EWWE R * E = E will be last digit so it possible only by multiplication of 5 with odd values so 1 * 5 or 3* 5 or 7*5 and 9*5 = last unit digit always 5 so E = 5 but 5* 5 not possible because R is not equal to W.....and look at multiplied value N + L = N so any value on addition with 0 will give you result as same hence N + 0 = N then L = 0 so remaining A and R are left R possible values are R = 1, 3, 7, 9 but 1 is not possible because 1 * ALE is equal to ALE and R = 3, 7, 9 are possible...... Already we know that E = 5 and L = 0 then R * A05 = 5WW5 (apply logic her...