Question

Find the least values of x and y for which 52x3y is divisible by 6.


PLEASE TELL THE ANSWER


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Answer 1

To be divisible by 6 it needs to be divisible by both 2 and 3

To be divisible by 2 the last number should be even i.e. 0,2,4,6,8

To be divisible by 3 sum total should be divisible by 3

The sum total is already 10 .

Nearest number of 10 divisible by 3 is 12.

So the last number shall be 2 so it is divisible by 2 and the sum total is also 12 i.e. it is divisible by both 2 and 3 i.e. divisible by 6.

x=0

y=2

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Answer 2

To be divisible by 6 it needs to be divisible by both 2 and 3

To be divisible by 2 the last number should be even i.e. 0,2,4,6,8

To be divisible by 3 sum total should be divisible by 3

The sum total is already 10 .

Nearest number of 10 divisible by 3 is 12.

So the last number shall be 2 so it is divisible by 2 and the sum total is also 12 i.e. it is divisible by both 2 and 3 i.e. divisible by 6.

x=0

y=2