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The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this situation

Sagot :

devinishu1984

Answer:

Let's call the numbers

x

and

y

. The statement can be written as follows:

x

+

y

=

82

x

−

y

=

24

Now, both equalities are true for both numbers, so we can now add the two equalities to get a third:

x

+

y

+

x

−

7

=

82

+

24

, and then

2

x

=

106

, and so

x

=

53

Now replacing

x

by its value in either equation, say the first, we have:

53

+

y

=

82

, and so

y

=

82

−

53

=

29

olumideolawoyin

Answer:

x + y = 82

x - y = 24

Step-by-step explanation:

Let the two numbers be x and y.

The sum of two numbers is 82

→ x + y = 82 and their difference is 24

→ x - y = 24

Therefore, the system of equations that describes this situation:

x + y = 82

x - y = 24

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