Question

2. The HCF of two numbers is 12
and their difference is 12, find the numbers.​

Answer 1

Answer:

=9612−84

Step-by-step explanation:

Hence, the difference of two numbers is 12. Since HCF of two numbers is 12. We will check whether both number satisfies the equation (1) or not. ⇒x12−y12=9612−8412=8−7=1⇒x12−y12=

Answer 2

Step-by-step explanation:

Since the HCF of the two numbers is 12 the

numbers are 12a and 12b where a and b are

prime to each other

Given 12a−12b=12 ⇒ a−b=1

⇒ a and b are consecutive numbers that are prime

to each other. By inspection we can see that

84, 96 i.e. 12 x 7 and 12 x 8 are the two

numbers satisfying this condition (8−7=1)