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4 years ago

The sum of two numbers is 45 and there difference is 5 what are the two numbers?

2 answers:

5 0

Let the two numbers be x and y.
The sum is 45, therefore
x + y = 45 (1)

The difference is 5, therefore
x - y = 5 (2)

Add equations (1) and (2).
x + y + (x - y) = 45 + 5
2x = 50
x = 25

From (1), obtain
25 + y = 45
y = 45 - 25 = 20

Answer: 20 and 25

sleet_krkn [62]4 years ago

5 0

Answer:

20 and 25

Step-by-step explanation:

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The answer is

Step-by-step explanation:

To find the GCF of

${2}^{4} \times {3}^{2} \: \: \: \: and \: \: {2}^{5} \times {3}^{6}$

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3 years ago

The line legment has the length of 36 cm. It was divided into four unequal parts. If the distance between the midpoints of the f

goldenfox [79]

Hello.

the line segment is 36 cm and the distance between the midpoints of the first and the fourth parts is 30 cm, this means that the sum of the lengths of the first and the last part is

2(36 - 30) = 2(6) = 12 cm.

Thus, the sum of the length of the second and the third part is 36 - 12 = 24 cm.
Therefore, the distance between the midpoints of the second and the third parts is 24 / 2 = 12 cm.

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3 0

3 years ago

Alex y felipe son carpinteros. La materia prima necesaria para hacer un mueble grande les cuesta $500 y para un mueble pequeño $

aleksandrvk [35]

Answer:

Large furniture = 110 and Small furniture = 40

Step-by-step explanation:

Let, the number of pieces of large furniture = x and the number of small furniture = y.

As, it is given that Alex makes 150 pieces of the furniture.

We get the relation x + y = 150.

Moreover, the cost to make large furniture is $500 and the cost to make small furniture is $300.

Since, they have $57,000 as the total amount.

Thus, we get, 500x + 300y = 57000 i.e. 5x + 3y = 570.

Hence, we get the system of equations as,

5x + 3y = 570

x + y = 150

Now, we will solve these equations.

As, x + y = 150 ⇒ x = 150 - y

So, 5x + 3y = 570 ⇒ 5(150-y) + 3y = 570 ⇒ 650 - 5y + 3y = 570 ⇒ -2y = -80 ⇒ y = 40

Thus, x = 150 - 40 = 110 ⇒ x = 110

Hence, the number of large furniture can be made is 110 and the number of small furniture can be made is 40.

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3 years ago