Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Two numbers add to 251 and the second is 41 bigger then the first. what are the two numbers?

Sagot :

[tex]\left\{\begin{array}{ccc}x+y=251\\y=x+41\end{array}\right\\\\substitute:\\\\x+x+41=251\\2x+41=251\ \ \ \ /-41\\2x=210\ \ \ /:2\\x=105\\\\y=105+41=146\\\\Answer:105\ and\ 146.[/tex]

146 dan 105

Further explanation

Given:

Two numbers add to 251 and the second is 41 bigger than the first.

Question:

What are the two numbers?

The Process:

Let the first number we call x, and the second number is y.

Two numbers add to 251, We arrange it as Equation-1:

[tex]\boxed{ \ x + y = 251 \ }[/tex]

The second is 41 bigger than the first. We arrange it as Equation-2:

[tex]\boxed{ \ x = y + 41 \ } \ or \ \boxed{ \ x - y = 41 \ }[/tex]

Let us solve the two equations above by eliminating the same variable. With the addition process, it appears that the variable y will be eliminated.

x + y = 251

x - y = 41

-------------- ( + )

2x = 292

Divide by two on both sides.

x = 146

The final step is to determine the variable y with the substitution of the value x into one of the two equations above. We choose Equation-1.

x = 146 → 146 + y = 251

y = 251 - 146

y = 105.

Thus, the two numbers are 146 and 105.

Learn more

  1. How many solutions exist for the given equation?  https://brainly.com/question/11306893#
  2. Solving a system of linear equations in two variables https://brainly.com/question/11549940#
  3. Three multiple-choice questions https://brainly.com/question/1979240  
  4. Finding the equation, in slope-intercept form, of the line that is parallel to the given line and passes through a point https://brainly.com/question/1473992