Question 282962: th ediffrence between 2 numbers is 34. the larger number is 4 more than 3 times the smaller number. whats the numbers?
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! We have two numbers: x & y.
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The difference is 34.
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x - y = 34
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The larger number is 4 more than 3 times the smaller.
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Well, since I decided that x-y is a positive number, then x > y.
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x = 3y + 4
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Since x - y = 34, then
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x = y + 34
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Substitute x = y+34 to find the value of 'y'
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y+34 = 3y + 4
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subtract y from both sides
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y -y +34 = 3y-y + 4
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34 = 2y + 4
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subtract 4 from both sides
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34-4 = 2y +4-4
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30 = 2y
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so
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2y = 30
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divide both sides by 2
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y = 15
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substitute y=15 into the first equation to find 'x'
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x - 15 = 34
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x = 49
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check this answer by substituting these values for x and y into the second equation
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x = 3y + 4
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49 = 3(15) + 5
Correct
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Answer:
x = 49
y = 15
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Done.
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