amberrnn1 amberrnn1
  • 25-09-2017
  • Mathematics
contestada

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

Respuesta :

gmany
gmany gmany
  • 15-06-2019

Answer:

15 and 75

Step-by-step explanation:

[tex]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[/tex]

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