Question

if 32x 577 is divisible by 3 then find the greatest value of x

Answer 1

Answer:

9

Step-by-step explanation:

3+2+9+5+7+7 is divisible by 3

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Answer 2

Given:

32x577 is divisible by 3.

To find:

The greatest value of x.

Solution:

The greatest value of x for which the given number is divisible by 3 is 9.

To answer this question, we will follow the following steps:

First of all, we should know that if a number is divisible by 3 then the sum of all the digits of that number will also be divisible by 3.

Now,

As given, we have a number 32x577 which is divisible by 3.

So,

$3 + 2 + x + 5 + 7 + 7 \:$

is divisible by 3.

$= 24 + x$

is divisible by 3.

For 24 + x be divisible by 3, the values of x can be 3, 6 or 9.

Here, the greatest value of x is 9.

Hence, the greatest value of x is 9.