Ask Question
13 May, 08:14

One number is 3 less than twice another. If their sum is 39, find the numbers.

Which of the following systems of equations represents the word problem?

y = 2x - 3 and y = x + 39

y = 2x - 3 and x + y = 39

y = 2 (x - 3) and x + y = 39

+2
Answers (2)
  1. 13 May, 09:31
    0
    y = 2x - 3 and x + y = 39

    Explanation:

    Twice of a number indicates the 2x in the equation. It's also 2 less than the 2x. That's where the 2x-3 part comes from. The question indirectly states to find the sum of x and y. That sum should equal 39We can now plug in the information and get the second part of the equation, x + y = 39
  2. 13 May, 10:51
    0
    Answer with Step-by-step explanation:

    Let x and y be two numbers.

    One number is 3 less than twice another.

    ⇒ y=2x-3

    Their sum is 39.

    ⇒ x+y=39

    Hence, system of equations are:

    y = 2x - 3 and x + y = 39

    Putting y=2x-3 in x+y=39

    x+2x-3=39

    ⇒ 3x-3=39

    ⇒ x-1=13 (dividing both sides by 3)

    ⇒ x=14

    y=2x-3

    ⇒ y=2*14-3

    ⇒ y=28-3

    ⇒ y=25

    Hence, Two numbers are:

    14 and 25
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “One number is 3 less than twice another. If their sum is 39, find the numbers. Which of the following systems of equations represents the ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers