25wilcoxe 25wilcoxe
  • 12-04-2021
  • Mathematics
contestada

The sum of three consecutive integers is 144. What is the smallest of these integers?

Respuesta :

rico6712 rico6712
  • 12-04-2021

Answer:

They are 46, 48, 50.

Step-by-step explanation:

An even number is a multiple of

2

, then can be written as 2n. The next even number after

2

n

is

2

n

+

2

and the following is

2

n

+

4

.

So you are asking for which value of

n

it you have

(

2

n

)

+

(

2

n

+

2

)

+

(

2

n

+

4

)

=

144

I solve it for

n

6

n

+

6

=

144

n

=

138

6

=

23

.

The three numbers are

2

n

=

2

⋅

23

=

46

2

n

+

2

=

46

+

2

=

48

2

n

+

4

=

46

+

4

=

50

Answer Link

Otras preguntas

What causes a bolt of lightning? A. Electrical charges build up in the clouds only. B. Electrical charges build up on the ground only. C. Electrical charges b
Find the greatest common factor of 14a - 7b.
the perimeter of a rectangle is 338, if the ratio of the length to the width is 8:5, find the length
A bank offers an APR of 6.2% compounded daily .the annual percentage yeild is ___% ?
the EI NINO weather event of 1997_1998 brought
what is 0.212121... as a fraction
5 1/2 % in simplest form
A construction crew is digging a hole. On the first day, they dug a hole 3 feet deep. On the second day, they dug 2 more feet. On the third day, they dug 4 mor
The Indian Appropriations Act of 1885 encouraged American Indians to
What is the biggest obstacle to traveling by boat on the Congo River? A. the many cataracts B. the unusual path of the Congo River C. shallow areas due to droug