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3 years ago

One number exceeds another by 15. the sum of the numbers is 69. what are the numbers

Mathematics

1 answer:

alex41 [277]3 years ago

7 0

Hey there!!

Let us take the first number as ' x '

According to the question

The second number exceeds the first number by 15

hence, the second number = x+15

The sum of both the numbers = 69

which means

x + x + 15 = 69

2x+15 = 69

Subtracting by 15 on both sides

2x + 15 - 15 = 69 - 15

2x = 54

dividing by 2 on both sides

x = 27

first number = 27

second number = 27 + 15

= 42

Hope my answer helps!

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2 years ago

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2 years ago

A machine covers 5/8 square foot in 1/4 hour

VLD [36.1K]

The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = $frac{5}{8}\ ft^2$

Time taken to cover the given area = $\frac{1}{4}\ h$

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

$Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h$