Mathematics: One number is seven less than another. their sum is thirteen. find the numbers.(smaller value)(larger value) isn t there more than 1 possible combination here? how do i know which one it wants?

One number is seven less than another. their sum

derbraz6770

14.03.2022

The numbers are 10 and 3.

Step-by-step explanation:

Set up equations relating the two numbers to each other.Solve for the two variables.

STEP 1: Based on the problem, two equations can be set up:

First, "one number is seven less than another." This can be expressed mathematically:

Let x = first number

y = second number

$x \ - 7 = \ y$

The second equation is based on "their sum is thirteen."

$x \ + \ y \ = 13$

STEP 2: Solve for the variables.

In this step, substitute the value of y from Equation 1 into Equation 2:

$x \ + \ (x \ - \ 7) \ = \ 13\\2x \ - \ 7 \ = 13\\$

Next, solve for x by manipulating the equation:

$2x \ = \ 13 \ + \ 7\\2x \ = \ 20\\\boxed {x \ = \ 10}$

Now that the value of x is known, it can be used to determine the value of y.

To do this, use the calculated value for x and plug it into Equation 1:

$y \ = \ x \ - 7\\y \ = 10 \ - 7\\\boxed {y = \ 3}$

Learn More

Learn more about system equations Learn more about transposition Learn more about word problems

Keywords: two equations, two variables

0,0(0 оценок)