If \(\overline{3\times2}\) is a multiple of 11, where x is a digit, w

1.	If \(\overline{3\times2}\) is a multiple of 11, where x is a digit, what is the value of x?
Answer» Here, given number is \(\overline{3\times2}\) . We know that a number is divisible by 11 if and only if the difference between the sum of odd and even place digits is a multiple of 11. ∴ Sum of even placed digits – Sum of odd placed digits = 0, 11, 22,… ∴ x – ( 3+2) = 0, 11, 22,… ∴ x – 5 is a multiple of 11 ∴ x – 5 = 0 ∴ x = 5

If \(\overline{3\times2}\) is a multiple of 11, where x is a digit, what is the value of x?

Answer»

Here, given number is \(\overline{3\times2}\) .

We know that a number is divisible by 11 if and only if the difference between the sum of odd and even place digits is a multiple of 11.

∴ Sum of even placed digits – Sum of odd placed digits = 0, 11, 22,…

∴ x – ( 3+2) = 0, 11, 22,…

∴ x – 5 is a multiple of 11

∴ x – 5 = 0 ∴ x = 5