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

associative property of multiplication

this is a very good question

step-by-step explanation:

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