if 2y5 is divisible by 11,where y is a number ,
find the value of y.
Answers
Answer:
7
Step-by-step explanation:
as we know that for divisible by 11, sum of odd placed digits = sum of even placed digit
so, y= 2+5
I. e., 7 answer.
please give me marked as Breinly answer
Given:
A number 2y5 is divisible by 11. y is a digit.
To Find:
The value of y such that the number will be divisible by 11 is?
Solution:
The given problem can be solved using the concept of divisibility rules.
1. For a number to be divisible by 11, the difference between the sum of the odd positioned numbers and the sum of the even positioned numbers must be a multiple of 11.
For example, The number 2420 the oddly positioned sum is 2 + 2 = 4, and the evenly positioned sum is 4 + 0 is 4. The difference is 4 - 4 = 0, 0 is a multiple of 11. Hence, 2420 is divisible by 11.
2. Consider the given number 2y5,
=> The oddly positioned sum is 2 + 5 = 7,
=> The evenly positioned sum is y,
=> The difference between y and 7 must be a multiple of 11,
=> y - 7 = 0 ( other mutiples are not possible as y is a single digit )
=> y = 7.
3. The value of y is 7.
Therefore, the number is 275, the value of y is 7.