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Lorico [155]
3 years ago
13

Andrea writes a down a number , k. I write down a number that is 4 less than 5 times Andrea's number. If the sum of our numbers

is 14, find the two numbers.
Mathematics
1 answer:
devlian [24]3 years ago
7 0

Givens

Andrea: K

Me: 5k - 4

Sum

k + 5k - 4 = 14

Solve

6k - 4 = 14              Add 4 to both side.

6k - 4 + 4 = 14 + 4

6K = 18                  Divide by 6

k = 18/6

k = 3

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A first number is nine less than a second. The sum of the numbers is 45. Find the numbers.
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Answer:

The first number is <u>18</u> and the second number is <u>27</u>.

Step-by-step explanation:

Given:

A first number is nine less than a second.

The sum of the numbers is 45.

Now, to find the numbers.

Let the second number be x.

And the first number be x-9.

The sum of the both numbers is 45.

According to question:

(x-9)+x=45.

⇒ x-9+x=45.

⇒ 2x-9=45.

<em>Adding both sides by 9 we get:</em>

⇒ 2x=54.

<em>Dividing both sides by 2 we get:</em>

⇒ x=27.

<u><em>The second number = 27</em></u>.

Now, to get the first number we put the value of x:

x-9

=27-9

=18.

Therefore, the first number is 18 and the second number is 27.

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