camilavenegasvelazqu
Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

The sum of two numbers is 6. The second number is three more than twice the
first number. What are the two numbers?

Sagot :

Answer:

1.5 and 2

Step-by-step explanation:

TheAmethyst

Hey ! there

Answer:

  • First number = 1

  • Second number = 5

Step-by-step explanation:

In the question we are given that sum of two numbers is 6 , second number is three more than twice the first number .And We are asked to find the two numbers .

We are solving this question by assuming ,

  • First number as x

  • Second number as 2x + 3 ( Because in the question it is given that the second number is three more than twice the first number )

Solution : -

As question says that sum of two numbers is 6 that is :

  • First number + Second number = 6

Now , substituting value of first and second number which we have assumed above ,

[tex] \longmapsto \qquad \: x +2x + 3 = 6[/tex]

Step 1 : Adding like terms on left side :

[tex]\longmapsto \qquad \:3x + 3 = 6[/tex]

Step 2 : Subtracting with 3 on both sides :

[tex]\longmapsto \qquad \:3x + \cancel{3 }- \cancel{3 }= 6 - 3[/tex]

On further calculating, We have :

[tex]\longmapsto \qquad \:3x = 3[/tex]

Step 3 : Dividing with 3 on both sides :

[tex]\longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3} }= \cancel{ \dfrac{3}{3} }[/tex]

On calculating further, We get :

[tex]\longmapsto \qquad \: \blue{\underline{\boxed{ \pink{\sf{x = 1}}}}}[/tex]

We know that ,

  • x is our first number

Therefore , first number is ❝ 1 ❞ .

And ,

  • 2x + 3 is our second number . So ,

  • 2 ( 1 ) + 3

  • 2 + 3

  • 5

Therefore , second number is ❝ 5 ❞ .

Verifying : -

Now we are verifying our answer by adding both the numbers and equating it with 6 as it's given in question that sum of both the numbers is equal to 6 .

  • First Number + Second Number = 6

  • 1 + 5 = 6

  • 6 = 6

  • L.H.S = R.H.S

  • Hence, Verified .

Therefore, our answer is correct .

#Keep Learning

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.