Question

If 34y is multiple of 3 , where y is a digit what might be the value of y

Answer 1

Answer:

342

Step-by-step explanation:

342 divisor of 3 is 114

Answer 2

Given,

34y is divisible by 3

To Find,

Value of y =?

Solution,

From the Divisibility rule of 3, we know that if the sum of digits of a number is divisible by 3, then the number is completely divisible by 3.

That means if 34y is divisible by 3 then the sum of its digits is divisible by 3.

3 + 4 + y  = 3c [Where c is a natural number]

7 + y = 3c

For the sum of the digits to be divisible by 3, 3c should be greater than 7. The multiple of 7 which is greater than 7 is 9. So, let c = 3

7 + y = 3*3

y = 9 -7

y = 2

Similarly, other values of y can be 5 and 8

Hence, the value of y is 2 and the number is 342.