Question

if 346x52 is exactly divisible by 11 then x =​

Answer 1

Answer:

A given number is divisible by 11, if the difference of the sum of odd place digit and sum of even place digit is 0 or divisible by 11.

Calculation

Sum of odd place digit = 5 + 7 + 2

⇒ 14

Sum of even place digit = 6 + 3 + x

⇒ 9 + x

⇒ x + 3 + 6 = 9 + x

⇒ 2 + 7 + 5 = 14

⇒ 14 = 9 + x

⇒ 14 - 9 = x

⇒ 5 = x

6 + 3 + 5 = 14, 

Sum of the digit of odd place digit and even place digit will be equal, when x = 5.

∴ x = 5

hope it helps

Answer 2

$\large\underline{\sf{Solution}}$

$\large\red{\sf{Given \rightarrow 346x52 \: is \: exactly \: divisible}}$

$\large\red{\sf{by \: 11 \: then \: x = }}$

______________________

$\large\pink{\sf{To\: find \rightarrow value \: of \: x}}$

_____________________

$\large\green{\sf{we \: know \: that \: the \: divisibility \: \:}}$

$\large\green{\sf{rule \: of \: 11 \: is \downarrow}}$

$\large\green{\sf{Sum \: of \: odd \: and \: even \: numbers \: }}$

$\large\green{\sf{are \: equal.}}$

_____________________

$\large\blue{\sf{odd \: numbers \: place = 4 \: x \: and \: 2}}$

$\large\blue{\sf{even = 3 \: \: 6 \: \: and5}}$

_____________________

$4 + x + 2 =$

$\implies 6 + x$

_____________________

$3 + 6 + 5$

$\implies 14$

________________________

$6 + x = 14$

$x = 14 - 6$

$x = 8$