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1y3y6 is divisible by 11. Find the value of y. - Mathematics

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Question

1y3y6 is divisible by 11. Find the value of y.

Sum

Solution

It is given that, 1y3y6 is divisible by 11.

Then, we have (1 + 3 + 6) – (y + y) = 0, 11, 22,...

⇒ 10 – 2y = 0, 11, 22,...

⇒ 10 – 2y = 0  ...[Other values give a negative number]

⇒ 2y = 10

⇒ y = 5

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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 64. | Page 412

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