arturobiles300 arturobiles300
  • 22-02-2021
  • Mathematics
contestada

The sum of three consecutive even integers is
312. Find the Integers.

Respuesta :

dewainmolter2 dewainmolter2
  • 23-02-2021

Answer:

104, 105, 106

Step-by-step explanation:

Consider three consecutive integers.  If the first is x then the second is 1 more than x (or x+1) and the third is x+2

The sum of these three integers is x + x+1 + x+2 and is known to be 312, so

x + x+1 + x+2 = 312, gather like terms

3x + 3 = 312, subtract 3 from both sides

3x = 309, divide both sides by 3

x = 104, so the integers are

104, 105, 106

Answer Link

Otras preguntas

help me with #14 please!!!!
how do you find the square root of 2809
How many inches are in 6 in a half yards?
Air has pressure because a. the stratosphere is thick b. air has mass c. wind moves the air d. temperature warms the air
A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double? 2.5 days 5.0 days 46.6 days 66.7 days An expl
The factory workers made 715 toys per day if they work five days per week how many toys well the workers make in three weeks
describes art where the subject matter of the piece is not clearly identifiable
Repelling magnets will a. push apart. b. pull together. c. not affect each other.
What does each stanza in "Auspex" show? a.several interpretations of the same issue b.different ways the poet approaches his predicament c.the different stages
What is the pronoun case of the bolded word? the counselor wants to give a recommendation to them. a.possessive b.objective c.nominative