Question

The sum of two numbers is -23, and the difference of the larger and the
smaller is 81. What are the two numbers?

Answer 1

The two numbers are 29 and -52

Further explanation:

Let x be the larger number

and

y be the smaller number

then according to given statements

$x+y = -23\\x-y=81$

Adding both equations

$x+y+x-y=-23+81\\2x=58\\\frac{2x}{2} =\frac{58}{2}$

$x=29$

Putting x = 29 in first equation

$29+y=-23\\y=-23-29\\y=-52$

Proof:

Putting the values of x and y in first equation

$29-52=-23\\-23=-23$

So, The two numbers are 29 and -52

Keywords: Linear equations in two variables, Elimination method

Learn more about linear equations at:

• brainly.com/question/6943038
• brainly.com/question/613883

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