One number is half another number. The sum of the two numbers is 141. Find the numbers.
Your assignment must contain the following:
1. Restate the applied problem.
2. You must translate the words into a system of equations for solving the problem.
3. Solve the system of equations for the answers. You must provide detailed step-by-step explanations on how you solved the
problem.
4. Explain in detail how you would check your answers

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

5

10

15

20

25

30

35

40

45

50

55

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x