
A whole number is added to 50 and the same number is subtracted from 50 The sum of the resulting number.
Answer
578.7k+ views
Hint: In this question it is asked to find the resulting sum of two numbers when any whole is added and subtracted from the number 50, provided both are the same. So for this let the number added and subtracted be x and after that proceed accordingly.
Complete step-by-step answer:
Given, the number is 50 and a whole number is added and the same number is subtracted.
We need to find the sum of the resulting number.
Let the whole number be x, i.e., x is to be added and subtracted from 50.
So,
Let $ {S_1} = 50 + x $ and $ {S_2} = 50 - x $ .
Now, add both $ {S_1} $ and $ {S_2} $ .
So,
$
\Rightarrow {S_1} + {S_2} = 50 + x + 50 - x \\
\Rightarrow {S_1} + {S_2} = 100 \\
$
So, when the same whole number is added and subtracted from 50 and when both the resulting numbers are added the sum will be equal to 100.
Note: The complete numbers are part of the numbering scheme in which all the positive integers from 0 to infinity are used. These numbers exist in the number line. They are all, indeed, real numbers. All the numbers are real numbers, we may say, but not all the real numbers are whole numbers. Entire numbers are considered the complete set of natural numbers beginning with '0'. The following examples are given: 0, 11, 25, 36, 999, 1200, etc.
Complete step-by-step answer:
Given, the number is 50 and a whole number is added and the same number is subtracted.
We need to find the sum of the resulting number.
Let the whole number be x, i.e., x is to be added and subtracted from 50.
So,
Let $ {S_1} = 50 + x $ and $ {S_2} = 50 - x $ .
Now, add both $ {S_1} $ and $ {S_2} $ .
So,
$
\Rightarrow {S_1} + {S_2} = 50 + x + 50 - x \\
\Rightarrow {S_1} + {S_2} = 100 \\
$
So, when the same whole number is added and subtracted from 50 and when both the resulting numbers are added the sum will be equal to 100.
Note: The complete numbers are part of the numbering scheme in which all the positive integers from 0 to infinity are used. These numbers exist in the number line. They are all, indeed, real numbers. All the numbers are real numbers, we may say, but not all the real numbers are whole numbers. Entire numbers are considered the complete set of natural numbers beginning with '0'. The following examples are given: 0, 11, 25, 36, 999, 1200, etc.
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