L-S=18
L+S=34
L+S=34
3,7,14,15,17,46,N
RANGE:43 MODE:N
MEDIAN:15 MEAN:N
L + S = 34
L = 18 + S
(18 + S) + S = 34
18 + 2S = 34
2S = 34 - 18
2S = 18
S = ?
L = ?
See my answer to your later post.
Thanks for asking.
From the problem, we have two pieces of information:
1) The sum of the two numbers is 34, which can be expressed as: x + y = 34.
2) The difference between the two numbers is 18, which can be expressed as: x - y = 18.
Now we have a system of equations:
Equation 1: x + y = 34
Equation 2: x - y = 18
To solve this system, we can use the method of substitution or elimination. Let's use the substitution method:
From Equation 2, we can isolate 'x':
x = y + 18.
Substitute this expression for 'x' into Equation 1:
(y + 18) + y = 34.
Simplify the equation:
2y + 18 = 34.
Subtract 18 from both sides of the equation:
2y = 34 - 18,
2y = 16.
Divide both sides of the equation by 2:
y = 8.
Now, substitute the value of 'y' back into Equation 2 to find 'x':
x - 8 = 18,
x = 18 + 8,
x = 26.
Therefore, the two numbers are 26 and 8.