Question

0, 1, 2, 3, 4... are called Whole Numbers.
x and y are two numbers which satisfy ALL these conditions:
(x + y) is a whole number,
(x - y) is not a whole number and
xy is not a whole number

Which of the following COULD BE values of x and y?

Answer 1

Answer:

Addition of whole numbers is commutative. So, for any two whole numbers, x and y,

x+y=y+x

Answer 2

Answer:

x = 6.4, y = 4.6

Step-by-step explanation:

Given:- (x + y) is a whole number, (x - y) is not a whole number and xy is not a whole number.

To find:- Value of x and y that satisfies all the above conditions.

Solution:-

Whole numbers includes all the Natural numbers and zero. All positive integers are known as whole numbers. 0, 1, 2, 3, 4, 5, ....... are the whole numbers.

It is given here that x and y can be any number.

(x + y) = whole number.

(x - y) = not a whole number.

x × y = not a whole number.

In this case, there can be multiples values of x and y that holds all the above conditions.

Let's consider x = 2.7 and y = 1.3, then

x + y = 2.7 + 1.3

        = 4.0 which is a whole number.

x - y = 2.7 - 1.3

       = 1.4 is a decimal number and not a whole number.

xy = 2.7 × 1.3

    = 3.51 which is also not a whole number.

Similarly, other values of x and y can be (6.4 and 4.6), (3.8 and 6.2), etc.

Therefore, x = 6.4 and y = 4.6

#SPJ3

Know all the properties of whole numbers here

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