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If 342X6 is divisible by 9. Find the value of X ?

Question

If 342X6 is divisible by 9. Find the value of X ?

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Solution

The rule of divisibility by 9 states that a number is divisible by 9 if the sum of its digits is divisible by 9.

Let's apply this rule to the number 342X6.

Step 1: Add the known digits: 3 + 4 + 2 + 6 = 15

Step 2: Since the number must be divisible by 9, the sum of the digits (including X) must be a multiple of 9. The next multiple of 9 after 15 is 18.

Step 3: Subtract the sum of the known digits (15) from the next multiple of 9 (18) to find the value of X.

So, X = 18 - 15 = 3.

Therefore, the value of X that makes 342X6 divisible by 9 is 3.

This problem has been solved

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