Question

If the number 556xx is divisible by 12.find the value of x^2?

Answer 1

Answer:

x = 4

x^2 = 4^2 = 16

Step-by-step explanation:

Pl. mark this as 'Brainliest Answer'

Answer 2

Therefore the value of x² is 16.

Given:

The given number 556xx is divisible by '12'.

To Find:

The value of x².

Solution:

The given question can be answered as shown below.

Given number: 556xx

A number that is divisible by '12' is also divisible by '3' and '4'.

Divisibility test for '3':

The sum of digits in a given number should be divisible by '3'.

sum of digits of the given number = 5 + 5 + 6 + x + x = 16 + 2x

Now ( 16 + 2x ) should be divisible by '3'.

⇒ 2 ( 8 + x ) /3

If the sum of the digits is divisible by '3' then x = 1 or 4 or 7

Divisibility test for '4':

The last 2 digits of the given number should be divisible by '4'.

The last 2 digits 'xx' must be divisible by '4'.

⇒ If x = 1 → Last 2 digits = 11 not divisible by 4

⇒ If x = 4 → Last 2 digits = 44 divisible by 4

⇒ If x = 7 → Last 2 digits = 77 not divisible by 4

Hence x = 4 then x² = 16

Therefore the value of x² is 16.

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