SOLUTION: Can you break down these word problems and show me how you got to the solution please. I am confuse when it comes to word problems 1) If 5 times a number (N) is les than 2 times

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Question 507391: Can you break down these word problems and show me how you got to the solution please. I am confuse when it comes to word problems
1) If 5 times a number (N) is les than 2 times that same number minus 9, what must be the value of the number?

2) If the width of a table is 4 feet shorter than the length. The table top is 96 square feet. Find the width.

3) If 2 added to a number is multiplied by the same number minus 2 the result is 60. What is the original number?

4) Bob is twice as old as his cousin Al. In six years their combined ages will be 45. How old is Bob today?
5) The sum of two numbers is 17 and their difference is one. Find the value of the larger of the two numbers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
I will work the 1st one all the way out then give you the equations for you to work out on the others
:
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 < %28-9%29%2F3
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