Suggested Answer
Answer: 9641 + 9641 = 19282Step-by-step explanation:You want to assign a different digit to each of the letters H, A, L, T, E, R such that ... HALT + HALT = THERESolutionThe T in the most significant digit of the sum must be T = 1, because a carry from the sum of two digits cannot exceed 1. That means E = 2. In order for H+H = TH, we must have ... H + H + 1 = 10 + H H = 9In order for there to be a carry into the 4th column (from the right), the value of A must be 5 more than the value of T: A = 6Since E in the third sum digit is even, there can be no carry from the sum L +L = R. This leaves R an even digit not 0, 2, or 6. It cannot be 4, because that would require L=2, but we already have E=2. This leaves R = 8 and L = 4.The sum is ... HALT +HALT = THERE ⇒ 9641 +9641 = 19282The value of THERE is 19282.