large number=23
small number=7
sum=30
small number times 3= 7x3=21 (+2)=23 [large number]
23+7=30
see how i got it??
2007-06-26 06:34:21
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answer #1
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answered by Lizard_Luver 5
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The sum of the two numbers is 30, as stated in your first question. I think you want to know what the two numbers are. So...heres how to figure out what the two numbers are:
L = larger number
S = smaller number
First...the problem tells us that: L + S = 30
Next..As stated in the question "The larger number is 2 more than 3 times the smaller" So..we make that into the following equation: L = 3S + 2 ("3S" is 3 multiplied by S)
Now... we have two equations and two unknowns. We also no what L is equal to in terms of S (L = 3S + 2). So now you can replace the L in the equation L + S = 30 with 3S + 2:
3S + 2 + S = 30 ..... Now solve for S
4S = 28
S = 7
Now...Knowing that S = 7 and L + S = 30:
L = 23
Answer: Larger number = 23; Smaller number = 7
2007-06-26 06:48:31
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answer #2
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answered by J. A 2
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The sum is 30, the 2 numbers are 7 and 23.
2007-06-26 06:31:24
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answer #3
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answered by Anonymous
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Answer: The sum of two numbers is 30.
x = larger number
30 - x = smaller number
larger = 2 + 3(smaller)
x = 2 + 3(30 - x)
x = 2 + 90 - 3x
4x = 92
x = 23
and
30 - x = 7
The larger number is 23 and the smaller number is 7.
2007-06-26 06:35:27
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answer #4
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answered by mathjoe 3
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Are you sure you don't mean "What are the two numbers"? You already know that the sum = 30, since it's stated in the problem.
If x is the larger number and y is the smaller, your conditions are equivalent to the equations
x+y = 30
x = 3*y + 2
Solving for y, you get
(3*y + 2) + y = 30
4*y + 2 = 30
4*y = 28
y = 7
So x=23, y=7 is the solution.
2007-06-26 06:36:45
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answer #5
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answered by zygote222 5
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30
2007-06-26 06:30:53
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answer #6
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answered by Anonymous
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30
2007-06-26 06:30:36
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answer #7
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answered by softballgrl1050 2
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30
2007-06-26 06:29:22
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answer #8
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answered by grinonli 3
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x=30
2007-06-26 06:33:53
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answer #9
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answered by fmc_proshop 2
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x = smaller number
3x+2= larger number
4x+2 = 30
4x = 28
x = 7 = smaller number
3x=2 = 23 = larger number\7+23 = sum of numbers
2007-06-26 06:32:03
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answer #10
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answered by ironduke8159 7
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THE ANS. IS 30
Also If you want to know HOW!!!
Let the numbers be x & y.
So x+y=30 ------(1)
& x=3y+2 ------(2)
subsituting for x in (1)
3y+2+y=30
Or 4y+2=30
Or 4y=30-2=28
or y=28/4=7
subsituting for y in (1)
x+7=30
Or x=30-7=23
Therby x=23 & y=7
Checking: IS 23=2+3*7
23=23
2007-06-26 07:01:47
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answer #11
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answered by MAHAANIM07 4
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