Question 480458
Problem #1. The difference between 2 numbers are 8.  Twice the smaller plus 3 times the larger is 109.
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Let x = one of the numbers
Then the other number is x - 8
2(x-8) + 3x = 109
Solve for x:
2x - 16 + 3x = 109
5x = 125
x = 25
So the two numbers are 25, 17
Problem #2.  The perimeter of a standard basketball court is 288 ft.  Find the dimensions of the basketball court if the length is 4 ft. longer than the width?
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Perimeter of a rectangle = 2w + 2l, where l is the length, w is the width
Given: l = w + 4, perimeter = 288
Substitute the value for l in the equation for the perimeter:
2w + 2(w+4) = 288
4w + 8 = 288
w = 280/4 = 70
Ans: width = 70 ft, length = 74 ft.