algebra
the winninq three-digit number in a drawing for a door prize had the same units and hundreds digit. the product of its units and tens digits was 5 less than twice the sum of its digits. its middle digit was one more than twice its units digit. What was the number?
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Answers
The three-digit number is 271. The product of the units and tens digits must be (1 x 7) = 7. The sum of the digits must be 2 + 7 + 1 = 10. Twice the sum of the digits is 20. Therefore, 5 less than twice the sum of the digits must be 15. This matches with the product of the units and tens digits. The middle digit must be one more than twice the units digit, which is 1 + (1 x 2) = 3. Therefore, the three-digit number is 271.
