Question

10. The sum of three consecutive even numbers is 54. Find the numbers.
11. The sum of three consecutive odd numbers is 63. Find the numbers.​

Answer 1

Answer:

10. 16, 18, 20

11. 19, 21, 23

Step-by-step explanation:

10. letting the smallest even number be x,

x+x+2+x+4=54

3x+6=54

3x=48

x=16

x+2=18

x+4=20

Double Check: the 3 numbers are 16, 18, and 20, and if we add them up, we get 34+20=54. We also know those 3 numbers are all even and consecutive.  

11. letting the smallest odd number be y,

y+y+2+y+4=63

3y+6=63

3y=57

y=19

y+2=21

y+4=23

Double Check: the 3 numbers are  19, 21, and 23. when we add them up we get 19+21=40+23=63. We know these numbers are all odd and consecutive.

Answer 2

Answer:

Here is your solution

Let,

The first even integer be:x

Then the second even integer is:x+2

Then the third even integer is: x+2+2=x+4

Sum of three consecutive even numbers =54

A/q

(x)+(x+2)+(x+4)=54

3x+6=54

3x=54-6

3x=48

x=16

now

The first integer is:x=16

the second integer is:x+2=16+2=18

the third integer is: x+4=16+4=20

Hope it helps you