Question 500750: the sum of three times one number and seven times another is 62. the difference between the numbers is 4. what are the numbers? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! x = one number
y = another number
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3x + 7y = 62
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the difference between x & y = 4
x - y = 4
x = y +4
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substitute for x
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3(y+4) +7y = 62
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3y +12 +7y = 62
10y = 50
y = 5
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substitute y = 5 to find x
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x = y+4
x = 5+4
x = 9
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Always check your answer.
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3(9) + 7(5) = ?
27 + 35 = 62
Correct.
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Answer: The two numbers are 5 and 9.
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Done.