Question
If 2 is added to each odd digit and 1 is subtracted from
each even digit in the number 8763154, how many digits will appear more than once in the new number thus formed?Solution
Original number: 8 7 6 3 1 5 4
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8 (even) → 8 − 1 = 7
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7 (odd) → 7 + 2 = 9
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6 (even) → 6 − 1 = 5
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3 (odd) → 3 + 2 = 5
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1 (odd) → 1 + 2 = 3
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5 (odd) → 5 + 2 = 7
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4 (even) → 4 − 1 = 3
New number: 7 9 5 5 3 7 3 Frequencies: 7 → 2 times, 9 → 1, 5 → 2, 3 → 2.
Digits that appear more than once: 7, 5, 3 — that's 3 digits.
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