What is the value of the larger addend when the sum of two numbers is 7038?

What is the value of the larger addend when the sum of two numbers is 7038 and one addend is 4832 greater than the other?

The value of the larger addend when the sum of two numbers is 7038 and one addend is 4832 greater than the other is 5935.

Step-by-Step Solution:

Given: The sum of two numbers is 7038. One addend is 4832 greater than the other addend.

Let's denote the smaller addend as "x". The other addend can be represented as "x + 4832."

The problem states that the sum of the two addends is 7038. So, we can set up the equation:

x + (x + 4832) = 7038

Solving the equation:

2x + 4832 = 7038

2x = 2206

x = 1103

Now, we can calculate the value of the larger addend:

Larger addend = x + 4832 = 1103 + 4832 = 5935

Therefore, the larger addend is 5935.

In this problem, algebraic equations were used to find the value of the larger addend when the sum of two numbers is 7038. This systematic approach can be applied to various mathematical problems involving unknown values and their relationships.