Question

The sum of two integers is -25. If one of them is -12 , find the other

Answer 1

Given :

• Sum of two integers = - 25
• One of the integer = - 12

To find :

• The other integer

Solution :

Let the other integer be x.

According to the question,

⠀⠀⠀⇒ x + (-12) = - 25

⠀⠀⠀⇒ x - 12 = - 25

Transposing - 12 to the other side.

[Sign will get changed from negative to positive.]

⠀⠀⠀⇒ x = - 25 + 12

⠀⠀⠀⇒ x = - 13

The value of x = - 13

★ Therefore, the other integer = - 13

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⠀⠀⠀⠀⠀⠀⠀⠀Verification :-

Substitute the value of x in x + (-12) = - 25

Taking LHS,

⠀⠀⠀⇒ x + (-12)

⠀⠀⠀⇒ - 13 + (-12)

⠀⠀⠀⇒ - 13 - 12

⠀⠀⠀⇒ - 25

LHS = - 25

RHS = - 25

LHS = RHS

Hence, verified.

______________________________

Know MorE :–

Signs are changed on the following bases :-

• (-) (-) = (+)
• (+) (+) = (+)
• (-)  (+) = (-)
• (+)  (-)  = (-)

Answer 2

${\boxed{\underline{\tt{ \orange{Required \: answer:-}}}}}$

★GIVEN:-

• Sum of two numbers = -25

• One of the number = -12

★TO FIND:-

• Other number

★SOLUTION:-

Let the other number be a

According to question,

$: \implies \sf{a + (-12) = (-25) } \\ \\ : \implies \sf{a - 12 = - 25} \\ \\ : \implies \sf{a = - 25 + 12} \\ \\ { \boxed{ \underline{ \huge{ \pink{a = - 13}}}}}$

★TO VERIFY:-

Putting a = -13

LHS:-

(-13) + (-12)

-13 - 12

-25

= RHS

LHS = RHS

HENCE VERIFIED...

★ EXTRA INFORMATION:-

TOPIC - Linear equations in two variables

• A Linear equations in two variables has infinite solutions

• The graph of every Linear equations in two variables is a straight line.

• x = 0 is the equation of y - axis and y = 0 is the equation of x - axis.

• The graph x = a is a line parallel to y - axis.

• The graph y = b is a line parallel to x - axis.