Understanding the Problem
To solve the problem, we need to find the values of X and Y based on the given conditions.
Given Information
- The sum of X and Y is 5454.
- X is 5646 more than Y.
Setting Up the Equations
1. From the first condition, we can write the equation:
- X + Y = 5454
2. From the second condition, we can express X in terms of Y:
- X = Y + 5646
Substituting the Values
Now we can substitute the second equation into the first:
- (Y + 5646) + Y = 5454
This simplifies to:
- 2Y + 5646 = 5454
Solving for Y
Now, isolate Y:
- 2Y = 5454 - 5646
- 2Y = -192
- Y = -96
Since Y cannot be a negative natural number, we realize that our assumption might have an issue.
Checking for Errors
Upon reviewing, we note that if X is indeed more than Y, we cannot have a natural number result for Y. Hence, we need to re-evaluate our understanding of the conditions or values.
Finding 3X + Y
If we assume valid values for X and Y based on the context:
- If X = 5646 + Y, we can directly find the values satisfying X + Y = 5454.
Using positive values, we can derive some values for X and Y accordingly.
Conclusion
To find 3X + Y, replace X and Y with valid natural numbers that satisfy both equations. If you can provide specific numbers, I can help calculate 3X + Y based on those.
In summary, double-check the problem conditions to ensure the values are natural numbers.