Question

the sum of two integers is 256 if one of them is -83 the determine the other integer

a 339
b 393
c 390
d 330​

Answer 1

Answer:

a) 339

Step-by-step explanation:

As per the provided information in the given question, we have :

• Sum of two integers is 256.
• One of them is –83.

We have been asked to calculate the other integer.

Let us suppose the other integer as x. Now, according to the question, sum of two integers is 256.

$\longrightarrow \sf{\quad {-83 + x = 256 }}$

Transposing -83 from LHS to RHS. Its sing will get changed.

$\longrightarrow \sf{\quad { x = 256 + 83 }}$

Performing addition in RHS.

$\longrightarrow \quad\underline{\boxed { \pmb{\frak{x = 339}}}}$

Therefore, the other number is 339.

$\rule{200}2$

Here, we have used transposition method to solve the above linear equation.

• This method used to solve a linear equation having variables and constants.
• In this method, we transpose the values from R.H.S to L.H.S and vice-versa and changes its sign while transposing to find the value of the unknown value.

The arithmetic operations change when they are transposed are as follows :

• ( + ) changes to ( – )
• ( ― ) changes to ( + )
• ( × ) changes to ( ÷ )
• ( ÷ ) changes to ( × )