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sesenic [268]
3 years ago
13

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

Mathematics
1 answer:
oee [108]3 years ago
4 0

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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480700. The different combinations of students that could go on the trip with a total of 25 student, but only 18 may go, is 480700.

The key to solve this problem is using the combination formula nC_{r}=\frac{n!}{r!(n-r)!}. This mean the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.

The total of students is n and the only that 18 students may go is r:

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