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Rama09 [41]
3 years ago
11

Find three consecutive even numbers whose sum is 96?

Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0
Let me show you how I like to do problems like this:

-- If I just needed three numbers that add up to 96, the easiest way
to do it would be to find 1/3 of 96 . That's 32, so the three numbers
could be 32, 32, and 32.

-- If you want three consecutive even numbers, just take 2 away from
one of those numbers, and add it on to a different one.

Now you have 30, 32, and 34, and you haven't changed their sum.
stepladder [879]3 years ago
3 0
So consectuve even numbers

we know that one even number plus 2= another even number so we want to find 3 consecutive even numbers that add up to 96 or
x is the first number
x+2 is the second number
x+4 is the third number

x+x+2+x+4=96
3x+6=96
subtract 6 from both sides
3x=90
divide both sides by 3
x=30

the first number is 30
x+2=32=second number
x+4=34=third number

the numbers are 30,32,34
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Answer:

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Step-by-step explanation:

given that m multiple choice questions and r extended response questions.

Also given that a) m+r = total no of questions =20 ... i and

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b) Divide second equation by 2, m+3r = 30  ... iii

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Subtract to get 2r =10 or r =5

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Hence verified

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2) Let a litres of 20% solution and b litres of 50% solution be mixed

a) Then total volume = 6 ml = a+b  ... i

Resulting solution = 30% of 6 ml = 1.8 = 0.2a+0.5b ... ii

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b = 6-a: substitute in ii.

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3) 2x-3y=4 ...i

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Because x term has the same coefficient in both the equations, elimination is easier.

i-ii gives 2y =-2 or y =-1

Substitute in i, 2x+3 =4 or x = 0.5

So answer is x = 0.5 and y =1


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