Math  /  Algebra

QuestionQuestion When an integer is subtracted from 7 times the next consecutive even integer, the difference is 50 . Find the value of the lesser integer.
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Studdy Solution
Solve the equation for the lesser integer.
First, expand the equation:
7(x+2)x=50 7(x + 2) - x = 50 7x+14x=50 7x + 14 - x = 50
Combine like terms:
6x+14=50 6x + 14 = 50
Subtract 14 from both sides:
6x=5014 6x = 50 - 14 6x=36 6x = 36
Divide both sides by 6 to solve for x x :
x=366 x = \frac{36}{6} x=6 x = 6
The value of the lesser integer is:
6 \boxed{6}

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