<h2><u>An</u><u>swer</u><u>:</u><u>-</u></h2>
The larger number is 
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<h3>• <u>Given</u><u>:</u><u>-</u></h3>
- Sum of two numbers is 100.
- Difference between the numbers is 56.
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<h3>
• <u>To</u><u> </u><u>Find</u><u>:</u><u>-</u></h3>
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<h3>
• <u>Solut</u><u>ion</u><u>:</u><u>-</u></h3>
Let the two numbers be 'x' and 'y' respectively.
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<u>According to the question:-</u>
✯ Sum of two numbers is 100.
➪ ![\sf x + y = 100 \dashrightarrow\bold\red{[equation \: 1]}](https://tex.z-dn.net/?f=%5Csf%20x%20%2B%20y%20%3D%20100%20%5Cdashrightarrow%5Cbold%5Cred%7B%5Bequation%20%5C%3A%201%5D%7D)
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Also,
✯ Difference between the numbers is 56.
➪ ![\sf x - y = 100 \dashrightarrow\bold\red{[equation \: 2]}](https://tex.z-dn.net/?f=%5Csf%20x%20-%20y%20%3D%20100%20%5Cdashrightarrow%5Cbold%5Cred%7B%5Bequation%20%5C%3A%202%5D%7D)
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• <u>Adding</u><u> </u><u>eq</u><u>uation</u><u> </u><u>[</u><u>1</u><u>]</u><u> </u><u>a</u><u>nd</u><u> </u><u>equat</u><u>ion</u><u> [</u><u>2</u><u>]</u><u>:</u><u>-</u>
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➪ 
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➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ 
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• <u>Subst</u><u>ituting</u><u> </u><u>the</u><u> </u><u>va</u><u>lue</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>in</u><u> </u><u>equa</u><u>tion</u><u> </u><u>[</u><u>1</u><u>]</u><u>:</u><u>-</u>
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➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ 
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Therefore, the numbers are 78 and 22.
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The larger number is 78.
Answer:
regular
Step-by-step explanation:
*NOT MY WORK ITS FROM SOMEONE ELSE WHO ASKED THE SAME PROBLEM*
Answer: x=15, y= 10
Step-by-step explanation:
Answer: x=15, y=10
*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.
Step-by-step explanation:
For this problem, we can use system of equations. Let's use x for one number and y for the other.
First Equation:
x+y=25
We get this equation because it states that the sum of the two numbers is 25.
Second Equation:
y=x-5
We get this equation because it says one number (y) is 5 less than the other (x).
Since we have two equations, we can use substitution method to solve.
[distribute 1 to (x-5)]
[combine like terms]
[add both sides by 5]
[divide both sides by 2]
Now that we have x, we can plug it into any of the equations to find y.
[plug in x=15]
[subtract both sides by 15]
Finally, we have our answer, x=15 and y=10.
(2n + 5k)^2 = (2n + 5k)(2n + 5k)
Here we need to use FOIL
First - 2n * 2n = 4n^2
Outside - 2n * 5k = 10nk
Inside - 5k * 2n = 10nk
Last - 5k * 5k = 25k^2
That gives us 4n^2 + 10nk + 10nk + 25k^2, we can combine 10nk + 10nk to give 20nk, and a final equaion of 4n^2 + 20nk + 25k^2
8t+12s=180 and t=3s is the system of equations that represents the given scenario.
Step-by-step explanation:
Given,
Cost of a t-shirt = $8
Cost of a shorts = $12
t-shirt = t
shorts = s
Revenue earned = $180
According to given statement;
8t+12s=180
The store sold three times as many T-
shirts as shorts.
t = 3s
8t+12s=180 and t=3s is the system of equations that represents the given scenario.
Keywords: linear equation, revenue
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