The sum of two numbers is 47. If the larger number is 25 more than the other, what are the two numbers? Let x x be the larger number and y y be the smaller number.

Answer:

The answer to your question is x = 36, y = 11

Step-by-step explanation:

Data

there are 2 numbers

their sum is 47

one is larger by 25

x is the larger

y is the smaller

Process

1.- Write two equations that help to solve this problem

                   x  +  y =  47               Equation l

                    x = y + 25                  Equation ll

2.- Solve the system of equation by substitution. Substitute Equation ll in equation l

                    (y + 25) + y = 47

-Solve for y

                    y + 25 + y = 47

                    2y = 47 - 25

                    2y = 22

                      y = 22/2

                      y = 11

- Find x, substitute y in equation ll

                     x = 11 + 25

                     x = 36

Answer: the smaller number is 11. The larger number is 36

Step-by-step explanation:

Let x represent the larger number.

Let y represent the smaller number.

The sum of the two numbers is 47. It means that

x + y = 47- - - - - - - - - - -1

If the larger number is 25 more than the other number, the expression would be

x = y + 25

Substituting x = y + 25 into equation 1, it becomes

y + 25 + y = 47

2y + 25 = 47

2y = 47 - 25

2y = 22

y = 22/2

y = 11

x = y + 25 = 11 + 25

x = 36