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# The sum of two integers is -278. If one of the integers is -156, find the other.

Last updated date: 24th Jun 2024
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Hint: Adding two integers gives us the sum. To find the sum of two numbers adds the numbers together. To find the difference between two numbers subtracts the two numbers. Example: 9 is the sum of 2, 4 and 3. (Because of $2+4+3\,=\,9$).

Complete step by step solution: The aggregate of two or more numbers, magnitudes, quantities, or particulars as determined by or as if by the mathematical process of addition: The sum of 6 and 8 is 14. A particular aggregate or total, especially with reference to money: The expenses came to an enormous sum. The definition of a sum is a total amount you arrive at by adding up multiple things, or the total amount of something that exists, or the total amount of money you have. 4 is an example of the sum of 2+2. When you have 100 INR, this is an example of the sum of money that you have.
Let the two integers be x and y.
$\therefore x=-156,$ We need to find y
Given, $x+y=\text{sum}$
Sum$=-278$
$\therefore -156+y=-278$
$\Rightarrow y=-278+156$
$=-\left( 278+156 \right)$
$\therefore y=-122$

The other integer is $-122.$

Note: For such question, we must know simple arithmetic operations. The sum of the terms of a sequence is called a series. If a sequence is arithmetic or geometric there are formulas to find the sum of the first n terms, denoted $\text{S}_{n}$, without actually adding all of the terms. When you sum something up, you focus on all of its important points. The word sum can also refer to a certain amount of money.