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Sagot :
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
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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