Answer:
24 and 30
Explanation:
The sum of two numbers is 54. Let's use the variables x and y to represent theses numbers:
x + y = 54
The smaller number is 6 less than the bigger one. Let's say that x is the smaller number and y is the bigger number:
y - 6 = x
Now we know that x is equivalent to y - 6. So, let's replace x with y - 6 in the original equation:
x + y = 54
y - 6 + y = 54
Combine like terms:
2y - 6 = 54
Now we can solve for y:
2y - 6 = 54
Add 6 to both sides of the equation to isolate the 2y:
2y = 60
Divide both sides by 2 to find the value of y:
y = 30
Now that we know the value of y, we can solve for x:
y - 6 = x
30 - 6 = x
24 = x
The value of the two numbers is 24 and 30.