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3 years ago

Find two numbers with a sum of 14 and a difference of 4:

Mathematics

2 answers:

erica [24]3 years ago

8 0

X=9 and y=5. Solved using substitution.

lara [203]3 years ago

4 0

Answer:

First number --> x

Second number --> y

x + y = 14 --> x = 14 - y

x - y = 4

14 - y - y = 4

14 - 2y = 4

2y = 10

y = 5

x = 14 -5

x = 9

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Easy way, visual

50---68---80%
Difference 18 12
Invert order to give ratio of 50% and 80%
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So by simple proportion:
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Algebra way
Let x=volume of 50% needed.
Then
0.50*x+0.80*(100-x) = 0.68(100)
Expand and solve for x
0.5x+80-0.8x = 68
0.8x-0.5x = 80-68
0.3x = 12
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