1. Problem: Add the integers given in the first expression: $(+73) + (+64)$. 2. Formula: Integer addition is straightforward: add the numbers if they have the same sign, subtract if different signs. 3. Calculation: $73 + 64 = 137$. 4. Explanation: Both numbers are positive, so we add their absolute values. 5. Final answer: $137$. --- 1. Problem: Add the integers in the second expression: $(-16) + (-11)$. 2. Calculation: $-16 + (-11) = -27$. 3. Explanation: Both numbers are negative, so add absolute values and keep negative sign. 4. Final answer: $-27$. --- 1. Problem: Add the integers in the third expression: $(+49) + (+66)$. 2. Calculation: $49 + 66 = 115$. 3. Final answer: $115$. --- 1. Problem: Add the integers in the fourth expression: $(-22) + (-63)$. 2. Calculation: $-22 + (-63) = -85$. 3. Final answer: $-85$. --- 1. Problem: Add the integers in the fifth expression: $(-86) + (-96)$. 2. Calculation: $-86 + (-96) = -182$. 3. Final answer: $-182$. --- 1. Problem: Add the integers in the sixth expression: $(-90) + (-78)$. 2. Calculation: $-90 + (-78) = -168$. 3. Final answer: $-168$. --- 1. Problem: Add the integers in the seventh expression: $(+51) + (+50)$. 2. Calculation: $51 + 50 = 101$. 3. Final answer: $101$. --- 1. Problem: Add the integers in the eighth expression: $(-86) + (+62)$. 2. Calculation: $-86 + 62 = -24$. 3. Explanation: Different signs, subtract smaller absolute value from larger and keep sign of larger. 4. Final answer: $-24$. --- 1. Problem: Add the integers in the ninth expression: $(+8) + (-17)$. 2. Calculation: $8 + (-17) = -9$. 3. Final answer: $-9$. --- 1. Problem: Add the integers in the tenth expression: $(+24) + (-94)$. 2. Calculation: $24 + (-94) = -70$. 3. Final answer: $-70$. --- 1. Problem: Add the integers in the eleventh expression: $(-10) + (+62)$. 2. Calculation: $-10 + 62 = 52$. 3. Final answer: $52$. --- 1. Problem: Add the integers in the twelfth expression: $(-6) + (-53)$. 2. Calculation: $-6 + (-53) = -59$. 3. Final answer: $-59$. --- 1. Problem: Add the integers in the thirteenth expression: $(-94) + (-20)$. 2. Calculation: $-94 + (-20) = -114$. 3. Final answer: $-114$. --- 1. Problem: Add the integers in the fourteenth expression: $(-83) + (-69)$. 2. Calculation: $-83 + (-69) = -152$. 3. Final answer: $-152$. --- 1. Problem: Add the integers in the fifteenth expression: $(+87) + (-31)$. 2. Calculation: $87 + (-31) = 56$. 3. Final answer: $56$. --- 1. Problem: Add the integers in the sixteenth expression: $(+40) + (-4)$. 2. Calculation: $40 + (-4) = 36$. 3. Final answer: $36$. --- 1. Problem: Add the integers in the seventeenth expression: $(-50) + (+10)$. 2. Calculation: $-50 + 10 = -40$. 3. Final answer: $-40$. --- 1. Problem: Add the integers in the eighteenth expression: $(+69) + (-68)$. 2. Calculation: $69 + (-68) = 1$. 3. Final answer: $1$. --- Total distinct problems found: 54.