Answer:
15, 18, 21, 24, 27
Step-by-step explanation:
Five multiples of 3 means we have 5 terms we are adding together to = 105.
For the sake of having something to base each one of these terms on, let's say that the first term is 3. It's not, but 3 is a multiple of 3 and we have to start somewhere. These terms go up by the next number that is divisible by 3. After 3, the next number that is divisible by 3 is 6. The next one is 9, the next is 12, the last would be 15.
Let's then say that 3 is the first term, and we are going to say that is x.
To get from 3 to 6, we add 3. Therefore, the second term is x + 3.
To get from 3 to 9, we add 6. Therefore, the third term is x + 6.
To get from 3 to 12, we add 9. Therefore, the fourth term is x + 9.
To get from 3 to 15, the last term, we add 12. Therefore, the last term is x + 12.
The sum of these terms will then be set to equal 105:
x + (x + 3) + ( x + 6) + ( x + 9) + ( x + 12) = 105
We don't need the parenthesis to simplify so we add like terms to get
5x + 30 = 105. Subtract 30 from both sides to get
5x = 75 so
x = 15
That means that 15 is the first multiple of 3.
The next one is found by adding 3 to the first: so 18
The next one is found by adding 6 to the first: so 21
The next one is found by adding 9 to the first: so 24
The last one is found by adding 12 to the first: so 27
15 + 18 + 21 + 24 + 27 = 105
Notice that all the numbers are, in fact, consecutive multiples of 3 as the instructions stated.
