Question

what should come in place of x if 4857x is divisible by 88
​

Answer 1

Hint: consider the remainder when you divide 48570 by 88.

an integer is divisible by 11 if the alternating sum of its digits is divisible by 11. solve 4-8+5-7+y=-6+y=0 (mod 11)

to check, whether a solution y to the question above is also a solution to the actual problem: an integer is divisible by 8 if its last three digits are divisible by 8. if that is true for 57y, then x=y.

Can you just do a guess and check? You know the number has to be even because 88 is even, that's 5 numbers to check.

only 4, really

8, 16, 32, 64, 128, 256, 512, 2014, etc

The answer is 6

Answer 2

The number is 48570.

Given:

A number 4857x.

To Find:

The value of x.

Solution:

To find the value of x we will follow the following steps:

As we know,

The number is visible by 88 when it is divisible by both 11 and 8.

Because the product of 11 and 8 is 88.

Now,

A number is divisible by 11 when the difference between the sum of even numbers and the sum of odd numbers is a multiple of 11 or 0.

4857x is divisible by 88.

So,

4+8 - (5+7) ± x = 12-12 ± x = ±x

So, x can be 0 multiple of 11 but a multiple of 11 is 2 digit number and x is a one-digit number.

So,

x is 0.

Henceforth, the number is 48570.

#SPJ3