Answer:
3, 8 and 24.
Step-by-step explanation:
Let's write some equations that satisfy this problem (x = smallest, y = middle, z = largest):
z = 3y
x + y + z = 35
x = y - 5
We can use substitution to solve this problem! I will take x + y + z = 35, replace x with y - 5 (since we know x = y - 5) and replace z with 3y (since we know z = 3y).
This leaves us with:
(y - 5) + y + (3y) = 35
y - 5 + y + 3y = 35
5y - 5 = 35
5y = 40
y = 8
Since we know y (the middle number) is 8, we can now find the other numbers:
Largest is 3 times the middle, so 8 * 3 = 24.
Smallest is 5 less than the middle, so 8 - 5 = 3.
The 3 numbers are therefore 3, 8 and 24.
