jurodriguez jurodriguez
  • 03-11-2021
  • Mathematics
contestada

Find two consecutive integers such that 6 times the smaller integer is 26 less than 7 times the larger integer.

Respuesta :

clarch19
clarch19 clarch19
  • 03-11-2021

Answer:

19 and 20

Step-by-step explanation:

let 'x' = first integer (smaller of the two)

let 'x+1' = next consecutive integer

6x = 7(x+1) - 26

6x = 7x + 7 - 26

6x = 7x - 19

-x = -19

x = 19

x+1 = 20

Check:

19(6) = 7(19+1) - 26

114 = 140 - 26

114 = 114

Answer Link

Otras preguntas

Hi I'm still yaung this question is 20 points cause I want to be nice anyways please answer
What is the common ration of 10, 9, 1, 8, -7, 15?
What is the ability to handle whatever comes your way on a daily basis is called . . .
Areas with higher population density are shown in solid, dark green on the map above. Which of the following areas in India has the highest population density?
The initial campaign of the Americans in 1812—to invade and conquer Canada—was their first victory in the war. True or False
What is the midpoint of (4,11) (6,3)
The smallest functional unit of life is considered to be the ________.
Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x? x = 52 ​ x=180−52 ​ ​ x=90−52 ​
The most publicized scandal during President Harding's administration was known as: the Patman Scandal the Teapot Dome Scandal the Immigration Restrictions
decribe the four motives of the new imperialists