Question

The sum of two integers is -180. If one of them is 75, find the other.​

Answer 1

Answer:

Step-by-step explanation:

Let the unknown integer be X. Then,

75 + X = -180

On subtracting 75 from both sides (subtraction propertyof equality) :

75 + X - 75 = - 180 - 75

On simplification :

X = - 180 - 75

Hence, X = - 255

Note : To subtract an integer we add its inverse

- 180 - 75 = - 180 + (-75)

To add two integers of same sign, we add their absolute values and put the common sign.

Here both are negative numbers, so we add 180+ 75 = 255 and then put the negative sign.