One number is half another number. the sum of the two numbers is 141. find the numbers.

restate the applied problem.

you must translate the words into a system of equations for solving the problem.

solve the system of equations for the answers. you must provide detailed step-by-step explanations on how you solved the problem.

explain in detail how you would check your answers.

x = 47

y = 94

Step-by-step explanation:

Givens

Let the larger number = y            Note: y must be even. Why is that?

Let the smaller number = x

Equations

x = 1/2 y

x + y = 141

Solution

Substitute x from the first equation into the second equation

1/2 y + y = 141

Change 1/2 y to 0.5y

0.5y + y = 141

Combine the left

1.5y = 141

Divide both sides by 1.5

1.5y/1.5 = 141/1.5

Do the division

y = 94                      And y is even.

x = 1/2y

x = 1/2*94

x = 47

Check

The smaller number is 1/2 the larger one This is correct.

47 + 94 = 141 and this also checks.

x = 47

y = 94

Step-by-step explanation:

We know that one number is half another number and the sum of these two numbers is 141. We are to find the numbers.

Assuming and to be the numbers, we can write it as:

--- (1)

--- (2)

Substituting the value of from (1) into (2) to get:

y = 94

Now substituting this value of in (1):

x = 47

Translating it in other words:

One number is double the other number and the sum of the two number is 141.

Checking answers:

its electric no smoke

step-by-step explanation: