Question

The product of two numbers a and b is 294. Additionally, the highest common factor (HCF) of a and b is 7.

What can be said about the values of a and b?

a. a=7,b=42
b. a=21,b=14
c. a=35,b=6
d. a=49,b=6

Answer 1

The values of a and b are a=7 and b=42.

Step-by-step explanation:

Given that the product of two numbers a and b is 294 and the highest common factor (HCF) of a and b is 7, we can find the values of a and b. To do this, we need to find the prime factorization of 294, which is 2 * 3 * 7 * 7. Since the HCF of a and b is 7, one of the numbers should have 7 as a factor. From the given options, only option a. a=7,b=42 satisfies this condition. Therefore, the values of a and b are a=7 and b=42.