Question

if 31x is a multiple of 11, where x is a digit, what is the value of x?​

Answer 1

Answer:

value of x = 31 ×11 =341

Answer 2

Given,

31x is a multiple of 11, where x is a digit.

To Find,

The value of x

Solution,

Here in question,  it is mentioned that x is a digit. Now values of these digits can only be 1, 2, 3, 4, 5, 6, 7, 8, 9, 0. Multiple of 11 means it should be divisible by 11. We can also say it should come in the table of 11.

By hit and trial we put all values, we see that 319 can be one such possible number.

The divisibility rule of 11 also satisfies the property. The difference between the sum of digits at odd places and even places also shows that

$(3+9)-1\\=11$

Hence, if 31x is a multiple of 11, where x is a digit, then the value of x is 9.