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756x is a multiple of 11, find the value of x. - Mathematics

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Question

756x is a multiple of 11, find the value of x.

Sum

Solution

We are given that,

756x is a multiple of 11.

Then, we have to find the value of x.

Since, 756x is divisible by 11, then (7 + 6) – (5 + x) is a multiple of 11,

i.e. 8 – x = 0, 11, 22,...

⇒ 8 – x = 0

⇒ x = 8

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Chapter 13: Playing With Numbers - Exercise [Page 412]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 13 Playing With Numbers
Exercise | Q 65. | Page 412

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