Question
$3x\ 5$ is divisible by $9$ if the digit $x$ is __________.
✓
Answer
$3x\ 5$ is divisible by $9$ if the digit $x$ is $1.$
Solution:
Since, the number $3x\ 5$ is divisible by $9,$ then the sum of its digits is also divisible by $9.$ i.e. $3 + x + 5$ is divisible by $9.$ $= x + 8$ can take values $9,18, 27, … $But $x$ is a digit of the number $3\ x\ 5$, so $x = 1.$
Solution:
Since, the number $3x\ 5$ is divisible by $9,$ then the sum of its digits is also divisible by $9.$ i.e. $3 + x + 5$ is divisible by $9.$ $= x + 8$ can take values $9,18, 27, … $But $x$ is a digit of the number $3\ x\ 5$, so $x = 1.$
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