SOLUTION: I would like some assistance with 2 word problems please. I have tried each one about 3-4 times and keep getting stuck with non equal answers 1. The Area of a Triangle is give

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Question 60572: I would like some assistance with 2 word problems please. I have tried each one about 3-4 times and keep getting stuck with non equal answers
1. The Area of a Triangle is given as A = 1/2 BH. Find the Height (H) given that the Base (B) = 14 inches and the Area (A) = 56 square inches.
2. One number is five more than twice another. The two numbers add to 29. What are those two numbers?
I come up with: 2N + 5
N + 2N + 3N + 5 = 29
3N + 5 = 29
-5 -5
6N / 6 = 24 / 6
N = 8
Found 2 solutions by venugopalramana, Earlsdon:
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
SEE MY COMMENTS BELOW...
-----------------I would like some assistance with 2 word problems please. I have tried each one about 3-4 times and keep getting stuck with non equal answers
1. The Area of a Triangle is given as A = 1/2 BH. Find the Height (H) given that the Base (B) = 14 inches and the Area (A) = 56 square inches.
56 =(1/2)14*H
H=2*56/14 = 8
2. One number is five more than twice another. The two numbers add to 29. What are those two numbers?
I come up with: 2N + 5...VERY GOOD ..BUT SAY N AND 2N+5 ARE THE 2 NUMBERS
N + 2N + 3N + 5 = 29....NO.... N+2N+5=29
3N + 5 = 29.....OK
-5 -5....NO
3N = 29 - 5 =24
N = 24/3 =8
SO THE 2 NUMBERS ARE 8 AND 2*8+5=21 WHOSE SUM IS 29
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6N / 6 = 24 / 6
N = 8
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Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
1) A+=+%281%2F2%29BH
A = 56 sq. ins.
B = 14 ins.
Substitute these into the formula for the area.
56+=+%281%2F2%29%2814%29H Simplify and solve for H. Multiply both sides by 2.
112+=+14H Divide both sides by 14.
H+=+8
The height is 8 inches.
2)
You are looking for two numbers, call them x and y.
Write the two equations that represent the problem.
x = 2y+5 Substitute this for x into the second equation.
x+y = 29
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(2y+5) + y =29 Simplify and solve for y.
3y+5 = 29
3y = 24
y = 8 Now substitute this into either of the two equations and solve for x.
x = 2(8)+5
x = 16+5
x = 21
The two numbers are:
21 and 8