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]

Answer Link

Otras preguntas

in a card game,each player is dealt 5 cards.Make a table to show the total number of cards dealt for each number of players from 3 to 6.Write each ratio of play
How can law-abiding citizens get involved in the court system? All of the above Serving on juries Acting as witnesses Resolving disputes using the judicial syst
What is 340 pages; 20 percent decrease
The area of a rectangular city park is 25/54 square miles. The length of the park is 5/9 mile. What is the width, in miles, of the park?
Solve and check -5×=-50
what would happen to temperatures on earth the suns heat were distributed throughout the atmosphere
in a class of 24 students, 25 percent of them failed a test. How many students failed a test
The age in which early humans made tools is called the?
Make t subject of formula.S=P(1+Rt)
Write your own sentence which contains a common ,a proper and an abstract noun?