Question

There are two numbers, that sum up to 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers ?

Answer 1

Answer:

x = 18  (Smaller number)

y = 35 (Larger number)

Step-by-step explanation:

To solve, begin by setting up a system of equations.

'x' being the smaller number, while

'y' is the larger number.

We can construct the equations:

x + y = 53

3x = y + 19

Rearrange the second equation to equal 'y':

3x - 19 = y

Plug this value of 'y' into the first equation:

x + 3x - 19 = 53

Combine like terms and simplify:

4x - 19 = 53

4x = 72

x = 18

Plug in this value for 'x' into an equation to solve for 'y':

18 + y = 53

y = 35.

Answer 2

Answer:

18 and 35

Step-by-step explanation:

To solve, begin by setting up a system of equations.

'x' being the smaller number, while

'y' is the larger number.

We can construct the equations:

x + y = 53

3x = y + 19

Rearrange the second equation to equal 'y':

3x - 19 = y

Plug this value of 'y' into the first equation:

x + 3x - 19 = 53

Combine like terms and simplify:

4x - 19 = 53

4x = 72

x = 18

Plug in this value for 'x' into an equation to solve for 'y':

18 + y = 53

y = 35.

To solve, begin by setting up a system of equations.

'x' being the smaller number, while

'y' is the larger number.

We can construct the equations:

x + y = 53

3x = y + 19

Rearrange the second equation to equal 'y':

3x - 19 = y

Plug this value of 'y' into the first equation:

x + 3x - 19 = 53

Combine like terms and simplify:

4x - 19 = 53

4x = 72

x = 18

Plug in this value for 'x' into an equation to solve for 'y':

18 + y = 53

y = 35.