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?

The numbers are 10 and 3.

Step-by-step explanation:

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

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

STEP 2: Solve for the variables.

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

Next, solve for x by manipulating the equation:

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:

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Keywords: two equations, two variables

area of rectangle a is 2 times that of rectangle b that means 2x+x =   36cm^2

3x = 36cm ^2

x = 36/3

x= 12cm^2

and 2x = 24cm^2

now side of square = are divided by sides = 36/4 = 6cm

that means length of rectangle a and b is 6cm too

now for rectangle a,

l*b = area

= 6*y=24

y=24/6 = 4

therefore dimensions of rectangle a are- length = 6cm, breadth = 4cm

and for rectangle b, length = 6cm and breadth = 6-4 = 2cm.

hope this .