Question

The sum of two number is 0 and their difference is -76. What are the two numbers?

Answer 1

Step-by-step explanation:

• let us consider the two numbers are x,y
• x+y=0
• x-y=-76

adding these two eqn

• 2x=-76
• x=-38
• y=38

two numbers are 38,-38

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Answer 2

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let the numbers be x and y

now according to question

their sum is equal to 0.

x+y = 0 ------(1)

and their difference is equal to -76. so,

x-y = -76------(2)

or

y-x = -76-------(3)

case (I)

add both equations

1 & 2

x + y = 0

x - y = -76

-----------------

2x = -76

x= -38

putting X's value in (1) equation

(-38)+y = 0

y = 38

so ,

x= -38 & y= 38

case(ii)

add both equations

1 & 3

[here, (3) equation is y-x = -76 or we can say -x +y = -76]

x + y = 0

-x +y = -76

-----------------

2y = -76

y = -38

putting y's value in (1) equation,

x +(-38) = 0

x = 38

so , x = 38 & y = -38

case(I) answer

x = - 38 & y = 38

case(ii) answer

x = 38 & y = -38