Final answer:
Vinod's number is determined by solving a system of equations using the given sum of 12 and product of 32. The solution reveals that Vinod's number is 8, which is the larger of the two numbers that satisfy both conditions.
Step-by-step explanation:
The question at hand involves determining Vinod's number when given that Vinod's number is larger than Kiran's number, the sum of their numbers is 12 and the product is 32. To solve this, we set up a system of equations where we let Vinod's number be x and Kiran's number be y. The system of equations would be:
We are looking for the larger number, so we solve the system for x and y considering x is larger than y. By factoring or using the quadratic equation, we find that the two numbers that satisfy both conditions are 8 and 4, where Vinod's number is indeed the bigger number, 8.