kingb wrote:
If both x and y are positive integers less than 100 and greater than 10, is the sum x + y a multiple of 11?
(1) x - y is a multiple of 22
(2) The tens digit and the units digit of x are the same; the tens digit and the units digit of y are the same.
Given: x & y => +ive Integers between 10< x,y < 100
Q: is the sum x + y a multiple of 11
(1) x = 88 and y = 22 => (x-y)/ 22 is satisfied, answering the question as Yes.
Now when x = 64 and y = 20 => (x-y)/ 22 is satisfied, but when you answer the question x+y = 84/11, it will be a No.
1) will be not sufficient
(2) The tens digit and the units digit of x are the same; the tens digit and the units digit of y are the same
this means that x can be 11,22,33,44,55 and y can be 11,22,33,44,55
Now when you answer the question, it will be a consistent Yes.
Making the Correct Answer as
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Quote which i can relate to.
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