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13 February, 15:37

Isabel is thinking of an even number between 234 and 250. The sum of the digits is double the digit in the ones place. What is Isabel's number?

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  1. 13 February, 15:39
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    Since the required number is between 234 and 250, then the first digit of the number is 2 and the second digit can either be 3 or 4.

    Let the second and the third digits be x and y respectively, then

    2 + x + y = 2y

    Consider when the second digit is 3, then

    2 + 3 + y = 2y

    5 = y

    Thus, the number is 235.

    Similarly, consider when the second digit is 4, then

    2 + 4 + y = 2y

    6 = y

    Thus, the number is 246.

    Since the required number is an even number, therefore, Isabel's number is 246.
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