set up an equation and solve

Question

three even consecutive integers such that twice the largest is equal to two more than three times the smallest

Answer 1

Hi Jennifer

 

To begin with, note the following

 

3 consecutive integers:  x, x+1, x+2

3 consecutive odd integers:  x, x+2, x+4     an integer is skipped

3 consecutive even integers: x, x+2, x+4    an integer is skipped

 

So we have x, x+2, x+4

2(x+4) = 2+3(x)       twice the largest is equal to two more than three times the smallest

 

Solving the equation above

2x+8 = 2+3x

6 = x

 

The even consecutive integers are 6, 8, and 10.

Answer 2

x, x+2, x+4 are the integers

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

2x+8=3x+2

8-2=3x-2x

6=x

x=6

x+2=8

x+4=10