Question

how many integral solutions are possible for the equation n * y = 100 if n and y are natural numbers?

Answer 1

Given equation, n × y = 100

Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100

The possible solutions of the given equation could be:

1 × 100 = 100

2 × 50 = 100

4 × 25 = 100

5 × 20 = 100

10 × 10 = 100

100 × 1 = 100

50 × 2 = 100

25 × 4 = 100

20 × 5 = 100

Thus, the number of integral solutions = 9