Given:
7x5462
Concept Used:
To determine the divisibility by 9, the sum of the digits of the number must be divisible by 9.
Solution:
Write the expression for the sum of the digits:
Sum of digits = 7 + x + 5 + 4 + 6 + 2
Sum of digits = 24 + x
For 7x5462 to be divisible by 9, 24 + x must be divisible by 9.
• The nearest multiple of 9 greater than 24 is 27.
• Thus, 24 + x = 27
x = 27 - 24 = 3
Therefore, the least value of x that makes 7x5462 divisible by 9 is x = 3 .
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