SOLUTION: I am working on a story problem and am unable to figure out how to set it up to figure out the solution: Find 2 consecutive even integers that the sum of the larger and twice the

Algebra.Com
Question 17704: I am working on a story problem and am unable to figure out how to set it up to figure out the solution:
Find 2 consecutive even integers that the sum of the larger and twice the smaller is 62.
Thank you.

Answer by xcentaur(357)   (Show Source): You can put this solution on YOUR website!
Let the two integers be (x*2) and (x*2+2)
This is because any number multiplied by two becomes an even number,and adding two makes the second number even as well.


Now from the question,
(x*2+2)+2*(x*2)=62
2x+2+2(2x)=62
2x+4x+2=62
6x=62-2
6x=60
x=10


First number=(x*2)=20
Second number=20+2=22


Hope this helps,
Prabhat

RELATED QUESTIONS

I am unable to figure out how to set up this problem. "A ladder that is 17 feet long is 8 (answered by richard1234)
How do I complete the problem sec(x)=2 for 0≤x≤π^2 ? How do the... (answered by Alan3354)
f(x)=2 find f(-2) I am unable to figure out this problem....please help??? Thanks, (answered by jim_thompson5910)
My Algebra final is today, I need to complete 2 word problems, 1) A credit union loaned... (answered by KMST)
I am unable to figure out this problem I would like help please Find the equation... (answered by Alan3354)
I am unsure on how to solve : How many 5 digit zip codes are possible if digits can be... (answered by Alan3354)
I am trying to figure this problem out and I need some help with it. I am working with... (answered by josgarithmetic,macston,MathTherapy)
This is my problem... Solve the system by graphing. 3x + y = 6 3x – y = 0 This... (answered by stanbon)
hi, um i am having trouble trying to figure out how to set a problem up on my homework.... (answered by solver91311)