SOLUTION: Word problem: Find two consecutive even integers such that the smaller integer subtracted from twice the larger gives a difference of 10. find the two even integers. I go the

Question 180286: Word problem: Find two consecutive even integers such that the smaller integer subtracted from twice the larger gives a difference of 10. find the two even integers.
I go the answers just by trial and error as: 6 & 8 but is there a formula to use for this problem? thanks
Found 3 solutions by Mathtut, Earlsdon, ankor@dixie-net.com:
Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!
2 CONSECUTIVE EVEN integers. that woud make the number 2 apart from each other.
:
lets call one integer,the smaller, a and the other b. But we know that b is equal to a+2
:
2(a+2)-a=10
:
2a+4-a=10
:
a=6
:
b=a+2=8
:
there ya go
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Let x = the smaller even integer and x+2 = the next consecutive even integer.
2(x+2)-x = 10 "...the smaller integer subtracted from twice the larger integer gives a difference of 10."
2x+4-x = 10
x+4 = 10
x = 6 and x+2 = 8
The two consecutive even integers are 6 and 8.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Find two consecutive even integers such that the smaller integer subtracted from twice the larger gives a difference of 10. find the two even integers.
:
Here's an easy way, write an equation for the statement
:
let the two consecutive integers be: x, (x+2)
:
"smaller integer subtracted from twice the larger gives a difference of 10.
2(x + 2) - x = 10
2x + 4 - x = 10
2x - x = 10 - 4
x = 6 and 8 are the integers

RELATED QUESTIONS
Find two consecutive even intergers such that the smaller interger subtracted from twice... (answered by solver91311)
find two consecutive even integers such that the smaller added to twice the larger gives... (answered by MathLover1)
Find two consecutive even integers such that the sum of the smaller integer plus twice... (answered by Alan3354)
Find two consecutive even integers such that the smaller added to two times the larger... (answered by Fombitz)
find two consecutive even integers such that the smaller added to two times the larger... (answered by xdragonfight)
find two consecutive even integers such that the smaller added two times the larger gives (answered by ReadingBoosters)
find two consecutive even integers such that the smaller added to three times the larger... (answered by checkley71,edjones)
Find two consecutive even integers such that the smaller added to three times the larger (answered by KMST)
Find two consecutive even integers such that the smaller added to five times the larger... (answered by bondc)