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igor_vitrenko [27]
3 years ago
9

The sum of two numbers is 64 . the smaller number is 14 less than the larger number. what are the numbers?

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0
..2x+14=64
x=25
...x+y=64
25+y=64
y=39
x is the smallest,y is the largest
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Answer:

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Step-by-step explanation:

Given:

-4x-2y=14

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-4x-2y=14   ......(1)

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So, we multiply the equation (1) by 7 we get:

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And, we multiply the equation (2) by 2 we get:

-20x+14y=-48

Now, adding both the new equations:

-28x-14y+(-20x+14y)=98+(-48)

-28x-14y-20x+14y=98-48

-28x-20x-14y+14y=50

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<em>Dividing both the sides by -8 we get:</em>

x=-\frac{50}{8}

Now, putting the value of x in equation (1):

-4x-2y=14

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<em>Subtracting both sides by 25 we get:</em>

-2y=-11

<em>Dividing both sides by -2 we get:</em>

y=\frac{11}{2}

Therefore, the answer is x=-\frac{50}{8}  and y=\frac{11}{2}.

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Answer:

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