Question

consider the integars x and y. when y is divided by x the remainder is 29. when y is divided by x over 2 the remainder is 13. determine x
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Answer 1

Answer:

If x and y are integer, what is the remainder when x^2 + y^2 is divided by 5?

(1) When x-y is divided by 5, the remainder is 1 --> , so can be 1, 6, 11, ... Now, and () then and thus the remainder is 0, but if and () then and thus the remainder is 3. Not sufficient.

(2) When x+y is divided by 5, the remainder is 2 --> , so can be 2, 7, 12, ... Now, and () then and thus the remainder is 2, but if and () then and thus the remainder is 4. Not sufficient.

(1)+(2) Square both expressions: and --> add them up: --> so is divisible by 5 (remainder 0), which means that so is . Sufficient.

Answer: C.

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Answer 2

Answer:

14

Step-by-step explanation:

Here, x and y are integers

So, x÷y= 29

And here, y÷x over 2 reminder is 13

So, We first divide x and y is equal to 29 and y÷x over 2 reminder is 13

x÷y and y÷x

29-2-13

29-15

= 14

And the value of x÷y and y÷x is 14