Let their ages be g and k. Then g = k + 3.
Next: (g+7) + (k+7) = 41.
Substituting k + 3 for g in the above equation, we get k + 3 + 7 + k + 7 = 41.
Combining like terms: 2k + 17 = 41. Then 2k = 24, and k = 12.
Kevin is 12 years old and Greg is 15 years.
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Answer:
Step-by-step explanation:
We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...
y -0 = -1(x -5)
Simplifying gives the slope-intercept form:
y = -x +5 . . . . . . . use the distributive property to eliminate parentheses
Adding x to both sides gives the standard form:
x + y = 5
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<em>Explanation</em>
We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.
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