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Svetach [21]
3 years ago
6

One positive number is 1/5 of another number. The difference between the two numbers is 60. Find the numbers.

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Answer:

<h2>15 and 75</h2>

Step-by-step explanation:

n-second\ number\\\\\dfrac{1}{5}n-first\ number\\\\n-\dfrac{1}{5}n=\dfrac{4}{5}n-difference\ between\ the\ two\ numbers\\\\\text{Equation:}\\\\\dfrac{4}{5}n=60\qquad\text{multiply both sides ny 5}\\\\\not5\cdot\dfrac{4}{\not5}n=(5)(60)\\\\4n=300\qquad\text{divide both sides by 4}\\\\\dfrac{4\!\!\!\!\diagup n}{4\!\!\!\!\diagup}=\dfrac{300}{4}\\\\n=75\\\\\dfrac{1}{5}n=\left(\dfrac{1}{5}\right)(75)=\dfrac{75}{5}=15

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Step-by-step explanation:

y = - x + 4 ............... equation 1

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Solving the linear equation by substitution method , we have :

substitute equation 2 into equation 1 , that is

x - 2 = - x + 4

Add 2 to both sides , we have

x = -x + 4 + 2

Add x to both sides , we have

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divide through by 2

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Substitute x = 3 into equation 2 to find the value of y , we have

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y = 3 - 2

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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