The sum of two numbers is 44. If the larger number is two less than three times the smaller number, find the numbers.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Lets say the numbers are x and y. The two equations are:

x+y=44

x= 3y-2

Next you use substitution for x in the first equation which brings you to 3y-2 + y = 44 which simplyfies to:

4y - 2 = 44

4y = 46

y = 11.5

Then you...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

Lets say the numbers are x and y. The two equations are:

x+y=44

x= 3y-2

Next you use substitution for x in the first equation which brings you to 3y-2 + y = 44 which simplyfies to:

4y - 2 = 44

4y = 46

y = 11.5

Then you plug back y=11.5 in either of the equation to solve for x:

x = 3y - 2

x = 3(11.5) - 2

x = 32.5

Approved by eNotes Editorial Team
An illustration of the letter 'A' in a speech bubbles

Translate into equations x is one number y is the other.  Let's say y is the larger number.

x+y=44

and

y=3x-2

Using substitution we get

x+3x-2=44

4x=46

x=11.5

y=44-x=32.5

check 3(11.5)-2=34.5-2=32.5

So the two numbers are 11.5 and 32.5

 

Approved by eNotes Editorial Team