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 ?
1 answer:
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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