To find the product of two numbers a and b when their highest common factor (HCF) is 5 and their least common multiple (LCM) is 200, we can use the relationship between these three values. The product of the two numbers can be determined using the formula:
Product of a and b = HCF(a, b) × LCM(a, b)
According to the information given:
- HCF (a, b) = 5
- LCM (a, b) = 200
Now substituting the HCF and LCM into the formula:
Product of a and b = 5 × 200 = 1000
Therefore, the product of the two numbers a and b is 1000.