Question 507391
I will work the 1st one all the way out then give you the equations for you to work out on the others
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1) If 5 times a number (N) is less than 2 times that same number minus 9, what must be the value of the number?
5n < 2n - 9
5n - 2n < -9
3n < -9
n < {{{(-9)/3}}}
n < -3
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2) If the width of a table is 4 feet shorter than the length.
 The table top is 96 square feet. Find the width.
W = L - 4
L * W = 96
Replace W with (L-4)
L*(L-4) = 96
L^2 - 4L - 96 = 0
You can solve this by factoring, only the positive solution is wanted here
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3) If 2 added to a number is multiplied by the same number minus 2 the result is 60.
 What is the original number?
(n + 2)*(n - 2) = 60
FOIL and solve
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4) Bob is twice as old as his cousin Al. In six years their combined ages will be 45.
 How old is Bob today?
b = 2a
(b+6)+(a+6) = 45
Replace b with 2a, find a
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5) The sum of two numbers is 17 and their difference is one.
 Find the value of the larger of the two numbers?
a + b = 17
a - b = 1
You can solve this with elimination, adding eliminates b, find a first