In a certain code language, if the value of 23 + 31 = 20 and 83 + 42 = 66, then what is the...
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In a certain code language, if the value of 23 + 31 = 20 and 83 + 42 = 66, then what is the value of 82 + 43?
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Answer: D. D) 70
The rule is the product of digit sums: (2+3)(3+1) = 54 = 20; (8+3)(4+2) = 116 = 66. For 82 + 43: (8+2)(4+3) = 107 = 70.
Step-by-step Derivation:
Step 1: Test pattern on 23 + 31: (2 + 3) * (3 + 1) = 5 * 4 = 20.
Step 2: Test pattern on 83 + 42: (8 + 3) * (4 + 2) = 11 * 6 = 66.
Step 3: Apply to 82 + 43: (8 + 2) * (4 + 3) = 10 * 7 = 70.