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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