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