Maggie’s brother is 7 years younger than three times her age. the sum of their ages is 41. how old is maggie?

x is equal to 12

Step-by-step explanation:

let maggie's age be x and her brother's, y

3x-7=y ~eqn 1

x+y=41 ~eqn 2

put equation 1into equation 2

x+y=41

x+ 3x-7=41

4x=41+7

4x=48

x=48/4

x= 12

Maggie is 12 years old

To solve this problem, first step would be create two variables, x and y as follow:

x = Maggie's age

y = Her brother's age

From the problem above we can make two equations which are

y = 3x - 7                      ⇒ first equation

x + y = 41                      ⇒ second equation

Then the next step, we will substitute the first equation (y = 3x - 7) into second equation (x + y = 41)

x + (3x -7) = 41

x + 3x - 7 = 41

4x = 48

 x = 12

So, Maggie's age is 12 years old, while her brother is 29 years old

Substitution method

Substitution and elimination method in solving problem

Keywords: substitution, linear program, calculate age

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