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:
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.
