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

John F. Kennedy died in 1963 at the age of 46. In what year was he born? *im lazy *
The Berbers did NOT live in which present-day nation?
B. J. is reading Wonder by R. J. Palacio, a story about a character with physical differences. To best understand what he is reading, B. J. should A. look in th
Which expression is NOT equivalent to the other three? 9n - 6 3(3n - 2) -6 + n + 9n -3n ‒ 6 + 12n
The division of Rome’s citizens into manual laborers and land owners is an example of what characteristic of classical civilization? social stratification cul
TIMOTEO: Hace tres meses ____ a José Luis. What goes in the blank?
what major port city did thomas jefferson worry would be closed to americans?
Define primary consumer​
QUICK WRITE: In what ways does Shakespeare use the character of Peter Quince to convey the theme of control, specifically in Act 3, Scene 1? Requirements: Answe
What are the eight planets of the solar system