Question 149945: 11.25) Two numbers have the ratio 3:4. If 4 is added to each of the numbers the resulting ratio is 4:5. Find the numbers.
11.27) A line segment of length 120 inches is divided into three parts whose lengths are proportional to 3,4,5. Find the lengths of the parts.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 11.25) Two numbers have the ratio 3:4. If 4 is added to each of the numbers the resulting ratio is 4:5. Find the numbers.
Ans: 3:4 is the same as 3x:4x
Adding 4 to each of the numbers you get:
(3x+4)/(4x+4) = 4/5
5(3x+4) = 4(4x+4)
15x+20 = 16x+16
x = 4
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The numbers are 3x = 12 and 4x = 16
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11.27) A line segment of length 120 inches is divided into three parts whose lengths are proportional to 3,4,5. Find the lengths of the parts.
Ans:
3x + 4x + 5x = 120
12x = 120
x = 10
3x = 30
4x = 40
5x = 50
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Cheers,
Stan H.
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