To solve this problem, follow these steps:
1. Identify the given values:
- The difference between the two numbers is 37,695.
- The greater number is 430,714.
2. Set up a relationship:
- Let [tex]\( G \)[/tex] represent the greater number.
- Let [tex]\( S \)[/tex] represent the smaller number.
- The relationship between the greater number and the smaller number given the difference can be expressed as:
[tex]\[ G - S = \text{difference} \][/tex]
3. Substitute the known values into the relationship:
- [tex]\( G = 430,714 \)[/tex]
- [tex]\[ 430,714 - S = 37,695 \][/tex]
4. Solve for the smaller number [tex]\( S \)[/tex]:
- To isolate [tex]\( S \)[/tex], rearrange the equation:
[tex]\[ S = 430,714 - 37,695 \][/tex]
- Perform the subtraction:
[tex]\[ S = 393,019 \][/tex]
Thus, the smaller number is 393,019.
