Answer:
4 pairs
Step-by-step explanation:
Given
ab = 30
Where
a > b
Required
Determine number of pairs (a,b)
To do this, we simply test values for a and b that satisfy the required condition.
First,
Take a = 30
Substitute 30 for a in ab = 30
30 * b = 30
b = 30/30
b = 1
The pair is (30,1)
Take a = 15
Substitute 15 for a in ab = 30
15 * b = 30
b = 30/15
b = 2
The pair is (15,2)
Take a = 10
Substitute 10 for a in ab = 30
10 * b = 30
b = 30/10
b = 3
The pair is (10,3)
Take a = 6
Substitute 6 for a in ab = 30
6 * b = 30
b = 30/6
b = 5
The pair is (6,5)
There exist no other pair that satisfy the given condition.
Counting the above pairs, there are just 4 pairs.
