If 756x is divisible by 11, where x is a digit. Find the value of x.

Solution:

If 756x is divisible by 11 then

7 + 6 - (5 + x) = 0

x = 13 - 5 = 8

The other rule is

7 + 6 - 5 - x = 11

x = 7 + 6 - 5 - 11 = -3

x = -3 is not valid.

Therefore x = 8

✦ Try This: If 948x is divisible by 11, where x is a digit find the value of x.

If 948x is divisible by 11 then

9 + 8 - (4 + x) = 0

x = 17 - 4 = 13

x cannot be two digit hence this option is invalid

The other rule is

9 + 8 - 4 - x = 11

x = 9 + 8 - 4 - 11 = 2

x = 2

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16

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NCERT Exemplar Class 8 Maths Chapter 13 Sample Problem 14

If 756x is divisible by 11, where x is a digit. Find the value of x

Summary:

If 756x is divisible by 11, where x is a digit, the value of x = 8

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☛ Related Questions:

• Generalised form of a four-digit number abdc is (a) 1000 a + 100 b + 10 c + d, (b) 1000 a + 100 c + . . . .
• Generalised form of a two-digit number xy is (a) x + y, (b) 10x + y, (c) 10x - y, (d) 10y + x
• The usual form of 1000a + 10b + c is (a) abc, (b) abco, (c) aobc, (d) aboc