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

**Solution:**

If 1y3y6 is divisible by 6 then,

1 + 3 + 6 - (y + y) = 0 --- (1)

Or

(y + y ) - (1 + 3 + 6) = 11 or multiple of 11 --- (2)

From (1) we get,

10 - 2y = 0

2y = 10

y = 5

From (2) we get

2y - 10 = 11

y = 21/2 = 10.5 which is not valid

Therefore the value of y which makes the number divisible by 11 is 5

**✦ Try This: **2x4x8 is divisible by 11. Find the value of x.

If 2x4x8 is divisible by 6 then,

2 + 4 + 8 - (x + x) = 0 --- (1)

Or

(x + x) - (2 + 4 + 8) = 11 --- (2)

From (1) we get,

14 - 2x = 0

2x = 14

x = 7

From (2) we get

2x - 14 = 11

y = 25/2 = 12.5 which is not valid

Therefore the value of x which makes the number divisible by 11 is 7.

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

**NCERT Exemplar Class 8 Maths Chapter 13 Problem 64**

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

**Summary:**

If 1y3y6 is divisible by 11, the value of y is 5

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