Question

8. The difference between two integers is -25. If one integer is 45, find the other one
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Answer 1

Let us consider the second integer as x.

So according to the question :

x - (-25) = 45

We have been asked to find the second integer which we have considered as x.

$\longrightarrow{\tt{x - (-25) = 45}}$

We will transpose either of the terms and bring them to the same side of the equal to sign.

Note that when a number is shifted to other side of the equal to sign ; its sign changes.

$\longrightarrow{\tt{x = 45 + (-25)}}$

Now calculating the value as (+ , -) = - and sign of Bigger number.

$\longrightarrow{\tt{x = 45 - 25}}$

$\large{\boxed{\implies{\tt{x = 20}}}}$

Verification :

$\longrightarrow{\tt{20 - (-25) = 45}}$

$\longrightarrow{\tt{(- , -) = + }}$

$\longrightarrow{\tt{20 + 25 = 45}}$

$\longrightarrow{\tt{45 = 45}}$

LHS = RHS

Answer 2

Given ,

The difference between two integers is -25 and one integer is 45

Let , the other number be " x "

According to the question ,

45 - x = -25

x = 25 + 45

x = 70

$\sf \therefore \underline{The \: other \: number \: is \: 70}$