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kupik [55]
3 years ago
13

The sum of 2 numbers is 50. the second number is 5 times the first. what is the number.

Mathematics
2 answers:
grandymaker [24]3 years ago
7 0
Let the first number be x, and the second 5x. The second is five times the first, so thats why it is 5x. Now, add x+5x=50. Simplify the equation to be 6x=50, because x+5x is 6x. Do the opposite of multiplyig because 6x is the same as 6 times x. Divide 6 on both sides. 50 divided by six is your first number (x). Now multiply your quotient by 5 to find the second number, and those are your two numbers.
sp2606 [1]3 years ago
3 0

Let the first and smaller number be x. Since the second number is 5 times the first, the second number is 5x. We also know both of these numbers must add to 50; thus, we can create the following equation.

x+5x=50

Combine like terms

6x = 50

Divide both sides by 6

x = 50/6 = 25/3 \approx 8.333

This is the value of the first number. The number you're looking for isn't specified in the question description, so I'll just provide the value of the second number. The second number has to be 5 times the first.

Thus, we just multiply 5 to x.

5x = 5(25/3) = 125/3 \approx 41.667

That's the value of the second number.

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Answer:

Ratio of the increase in value to the original value will be 1 : 5

Step-by-step explanation:

This question is incomplete; Here is the complete question.

A house with an original value to $150,000 increased in value to $180,000 in 5 years. what is the ratio of the increase in value to the original value of the house?

Original value of the house = $150000

Value of the house after 5 years = $180000

Appreciation in value of the house after 5 years = $180000 - $150000

= $30000

Now the ratio of the increase in value to the original value = \frac{\text{Increased value}}{\text{Original value}}

= \frac{30000}{150000}

= \frac{1}{5} or 1 : 5

Therefore, ratio of the increase in value to the original value of the house is 1 : 5

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Step-by-step explanation

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