Question
If 3c2933k is divisible by both 5 and 11, where c and k
are single digit natural numbers, then c + k = ______.Solution
Since 3c2933k is divisible by 5, k must be 0 or 5. According to the question, c and k are the single-digit natural numbers, Since '0' is not the natural number, so only possible value of k is 5. if k = 5: 3c2933k ⇒ 3c29335 Difference of sum of alternating digit: ⇒ (3 + 2 + 3 + 5) - (c + 9 + 3) ⇒ 13 - (c + 12) ⇒ 1 - c For divisibility by 11: ⇒ 1 - c = 0, 11, ⇒ 1 - c = 0 ⇒ c = 1 Then, c + k = 1 + 5 = 6
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