Understanding the Problem
Alright, let’s solve a fun little puzzle together! We have two numbers that are in a ratio of 2:1. This means if one number is big, the other number is smaller, and the big number is twice as big as the small number!
Step 1: Let’s Think About the Numbers
Let’s call the big number A and the small number B.
Since the ratio is 2:1, we can say:
- A = 2B (the big number is two parts)
- B = B (the small number is one part)
Step 2: The Sum of the Numbers
Now, we know that when we add both of these numbers together, we get 72:
A + B = 72
Step 3: Substituting the Big Number
We can replace A in the sum with 2B:
2B + B = 72
Now, let’s put together the big parts:3B = 72
That means we have three of the small numbers!Step 4: Finding B
To find out what one part (the small number B) is, we can divide 72 by 3:
B = 72 ÷ 3
B = 24
So the small number is 24!Step 5: Finding A
Now, we can find the big number A using the small number:
A = 2B
A = 2 × 24 = 48
So the big number is 48!Step 6: Check Our Work
Let’s check our numbers: 48 + 24 = 72. It works!
Conclusion
So the two numbers we found are:
- Big number (A) = 48
- Small number (B) = 24