To find the greater number when the sum of two numbers is known and one of them is given, you can follow these steps:
1. Identify the total sum of the two numbers, which is provided as 2762.
2. Note the smaller number, which is given as 1354.
3. To find the greater number, subtract the smaller number from the total sum.
Here’s how you do it step-by-step:
1. Start with the total sum:
[tex]\[
\text{Total sum} = 2762
\][/tex]
2. Note the value of the smaller number:
[tex]\[
\text{Smaller number} = 1354
\][/tex]
3. Subtract the smaller number from the total sum to find the greater number:
[tex]\[
\text{Greater number} = \text{Total sum} - \text{Smaller number}
\][/tex]
[tex]\[
\text{Greater number} = 2762 - 1354
\][/tex]
4. Perform the subtraction:
[tex]\[
2762 - 1354 = 1408
\][/tex]
Thus, the greater number is:
[tex]\[
\boxed{1408}
\][/tex]
