HeyItsCookie6424 HeyItsCookie6424
  • 20-08-2020
  • Mathematics
contestada

Three consecutive numbers are such that when they are taken in increasing order and multiplied by 2,3and 4 respectively, they add up to 74. Find these numbers.

Respuesta :

PiaDeveau PiaDeveau
  • 20-08-2020

Answer:

7 , 8 , 9

Step-by-step explanation:

Assume three consecutive number are,

x , (x+1) , (x+2)

Multiplied by 2 ,3 and 4 respectively

2x , 3(x + 1) , 4(x + 2)

Sum of all = 74

So,

2x + 3(x + 1) + 4(x + 2) = 74

2x + 3x + 3 + 4x + 8 = 74

9x + 11 = 74

9x = 63

x = 7

So,

x , (x+1) , (x+2)

7 , (7+1) , (7+2)

7 , 8 , 9

Answer Link

Otras preguntas

For a process at constant pressure, 24,800 calories of heat are released. This quantity of heat is equivalent to
x2 - 2x = 24O A 4.8,5OB 26, -24Oc 6.-4CD4.8. -4.8​
Having issues solving
A federal agency responsible for enforcing laws governing weights and measures routinely inspects package to determine whether the weight of the contents is at
where did Mohammad spend years teaching? ​
1,4,16,64... Have a nice day whoever reads this
What does it take to solve a problem effectively? Check any that apply. knowledge of a subject determination to solve the problem, even if it is difficult a lov
What is 220kg increased by 12.5%
What is the measure of
Which of the following has six faces? A. Icosahedron B. Tetrahedron C. Octahedron D. Hexahedron