# Find two consecutive even integers such that their sum is equal to the difference of three times the larger and two times

3 answers

###### Question:

find two consecutive even integers such that their sum is equal to the difference of three times the larger and two times the smaller

## Answers

Let first consecutive integer is X and other is X+2

as per given conditions

x+x+2=3 (x+2) - 2x

2x+2=3x+6-2x

2x+2=X+6

X=4

First even consecutive is 4 and other is 6

X and x+2 are the numbers

x+(x+2)=3(x+2)-2x

2x+2=3x+6-2x

2-6=x

x=4

x+2=6

the numbers are: 4 and 6

The numbers are 4 and 6.

Step-by-step explanation:

x + (x + 2) = 3(x + 2) - 2x

2x + 2 = 3x + 6 - 2x

2x + 2 = x + 6

x = 4

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