Answer:
7 notepads
Step-by-step explanation:
5 + 3x = 26
Subtract constant (5)
3x = 21
Divide by coefficient (3)
x=7
<h2><u>An</u><u>swer</u><u>:</u><u>-</u></h2>
The larger number is 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
<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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➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ 
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• <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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Therefore, the numbers are 78 and 22.
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The larger number is 78.
Answer:
36
Step-by-step explanation:
![-2[-6(-4+7)]\\\\=(-2)(-6)(3)\\\\=12(3)\\\\=36](https://tex.z-dn.net/?f=-2%5B-6%28-4%2B7%29%5D%5C%5C%5C%5C%3D%28-2%29%28-6%29%283%29%5C%5C%5C%5C%3D12%283%29%5C%5C%5C%5C%3D36)
Step-by-step explanation: In order to decide whether the given fractions are equivalent, first write each fraction in lowest terms. Remember, a fraction is written in lowest terms if the greatest common factor of the numerator and the denominator is 1.
For our first fraction which is 3/4, the greatest common factor of 3 and 4 is 1, the fraction is already in lowest terms.
For our second fraction however, since the greatest common factor of 6 and 8 is 2, we must divide both the numerator and denominator by 2 which gives us 3/4.
3/4 = 3/4 which means these fractions are equivalent.
3/4 and 6/8 are equivalent because if you reduce 6/8 in lowest terms, you end up with the fraction 3/4.