Homework Help

problem:the larger of two numbers is five more than twice the smaller number.the sum of...

user profile pic

shelleyrenea | Student, Grade 11 | eNotes Newbie

Posted October 29, 2009 at 4:07 AM via web

dislike 0 like

problem:the larger of two numbers is five more than twice the smaller number.the sum of the two numbers is 39.find the numbers.what is the equation

 

Tagged with algebra one, math

1 Answer | Add Yours

user profile pic

kjcdb8er | Teacher | (Level 1) Associate Educator

Posted October 29, 2009 at 4:29 AM (Answer #2)

dislike 0 like

Let the two numbers be x and y. x is smaller.

"two times the smaller number" is 2x

"five more than 2x" is 2x + 5 = "the larger number," y

So 2x + 5 = y            (1)

Also, x + y = 39         (2)

 

Multiply (2) by 2 so now you have:

2x + 5 = y

2x + 2y = 78

 

Subtract the two equations:

2x + 5 - (2x + 2y) = y - 78

5 - 2y = y - 78

3y = 83

y = 83/3

 

So x + y = 39  --> x = 39 - y = 39*3/3 - 83/3

x = 34/3

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes