You can put this solution on YOUR website! one seventh of the sum of 2 numbers is 6, and 4 times their difference is 64. find these numbers
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let the two numbers be a & b
Write an equation for each statement, simplify as much as possible.
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"one seventh of the sum of 2 numbers is 6," (a+b) = 6
multiply both sides by 7
a + b = 42
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"and 4 times their difference is 64."
4(a-b) = 64
divide both sides by 4
a - b = 16
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Add the two simplified equations
a + b = 42
a - b = 16
-------------adding eliminates b, find a
2a = 58
a = 58/2
a = 29
Find b
29 + b = 42
b = 42 - 29
b = 13
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these two numbers: 29 and 13
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Check this in the 2nd statement
4(29-13) = 64
4(16) = 64
