Call the two numbers x and y
The sum is 82:
x + y = 82
The difference is 24:
x - y = 24
x + y = 82
x - y = 24
Add the two equations to eliminate y:
x + x + y - y = 82 + 24
So
2x = 106
Divide both sides by 2:
x = 53
Substitute back into one of the original equations:
(53) + y = 82
Subtract 53 from both sides:
y = 29
The two numbers are 53 and 29.
2007-09-19 13:27:45
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answer #1
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answered by whitesox09 7
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Let x and y be those two numbers.
We know that
x + y = 82, and
x - y = 24
So, let's add those two equations in order to eliminate one variable. And we get
x + y + x - y = 82 + 24
2x = 106
x = 106/2 = 53
Subsitute x=53 in one of the two equations. Let's take the first one:
x + y = 82
53 + y = 82
y = 82 - 53
y = 29
Answer: x = 53, y = 29
2007-09-19 14:20:29
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answer #2
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answered by Christine P 5
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(1). x+y = 82 & (2). x - y = 24
*Solve for "x' or "y" in either equation - we'll solve for "x" in the 1st equation.
First: subtract "y" from both sides (when you move a term to the opposite side, always use the opposite sign).
(1). x + y = 82
x+y-y = 82-y
x = 82-y
Sec: substitute 82-y with "x" in the 2nd equation.
(2). x - y = 24
82 - y - y = 24
82 - 2y = 24 (subtract 82 from both sides).
82-82-2y = 24-82
- 2y = 24-82
-2y = -58 (divide both sides by -2).
-2y/-2 = -58/-2
y = 58/2
y = 29
Third: substitute 29 with "y" in the 1st equation.
(1). x+y = 82
x+29 = 82 (subtract 29 from both sides).
x+29-29 = 82-29
x = 53
Solution: (53, 29)
2007-09-19 13:34:46
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answer #3
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answered by ♪♥Annie♥♪ 6
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let x = first number
y = other number
first equation: x + y = 82
second equation: x - y = 24
express x in terms of y:
x = 82 - y
and
x = 24 + y
eqaute these two
82 - y = 24 + y
-y - y = 24 - 82
y = 29
substitute value of y
x = 82 - 29
x = 53
2007-09-19 13:32:10
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answer #4
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answered by doraemon003 2
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x+y=82
x-y=24
Sum of the two equations,
2x = 106
x = 53
x+y = 82
53 + y = 82
y = 82 - 53
y = 29
2007-09-19 13:30:56
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answer #5
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answered by alrivera_1 4
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X + Y = 82
X - Y = 24
Add.
2X = 106
X = 53
So Y = 53-24 = 29
2007-09-19 13:27:48
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answer #6
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answered by PMP 5
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x+y=82
x-y=24
x=82-y
82-y-y=24
82-24=2y
58=2y
y=29
x+29=82
x=53
voila, algebraic-ish solution
wow i forgot about just addign the equations together..
I'm an over-achiever!
2007-09-19 13:28:33
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answer #7
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answered by Anonymous
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let no. be x and y
x+y=82
x-y=24
add these together
2x=106
x=53
therefore y=29
therefore the no. are 53 and 29
2007-09-19 13:28:42
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answer #8
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answered by slick_licker88 3
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x + y = 82
x - y = 24-------ADD
2x = 106
x = 53
53 + y = 82
y = 29
x = 53 , y = 29
2007-09-21 22:41:58
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answer #9
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answered by Como 7
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x + y = 82
x - y = 24
2007-09-19 13:30:44
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answer #10
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answered by sfroggy5 6
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