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Matching leading digit, complementary endings
numbers share the leading digit and their endings add up to a round total: and . Find their product.
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Hint
Multiply the tens digit by the next digit up, then append the product of the units digits.
Solution
- The tens digit is , so multiply by the next integer to get .
- The units digits give , written as a block of digits.
- Place the blocks side by side: followed by gives .
- Check with , which is .
Answer: