The sum of two numbers is 119. If 4 times the smaller number is subtracted from the larger number the result is nine. Find a two
1 answer:
The larger number is 97 and smaller number is 22.
Step-by-step explanation:
Let,
The two numbers are x and y.
According to given statement;
x+y=119 Eqn 1
y-4x=9 Eqn 2
Subtracting Eqn 2 from Eqn 1
Dividing both sides by 5
Putting x=22 in Eqn 1
The larger number is 97 and smaller number is 22.
Keywords: linear equation, elimination method
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Answer:
The absolute difference is:
If we find the % of change respect the before case we have this:
So then is a big change.
Step-by-step explanation:
The subindex B is for the before case and the subindex A is for the after case
Before case (with 500)
For this case we have the following dataset:
500 200 250 275 300
We can calculate the mean with the following formula:
And the sample deviation with the following formula:
After case (With -500 instead of 500)
For this case we have the following dataset:
-500 200 250 275 300
We can calculate the mean with the following formula:
And the sample deviation with the following formula:
And as we can see we have a significant change between the two values for the two cases.
The absolute difference is:
If we find the % of change respect the before case we have this:
So then is a big change.