Question

hcf of two number is 23 and their product is 9522.How many such pairs of numbers are possible

Answer 1

Answer:

2 Pairs exists

(23 , 414)  & ( 46 , 207)

Step-by-step explanation:

hcf of two number is 23 and their product is 9522.How many such pairs of numbers are possible

hcf of two number is 23

=> two numbers would be 23A  & 23B

where A & B would be coprime

Product of two numbers is 9522

23A * 23 B = 9522

=> A * B = 18

A = 1  B = 18

A = 2  B = 9

A = 3 B = 6  ( not possible as  3 is factor of 6)

2 Pairs exists  ( 23 * 1  , 23* 18)   & ( 23 * 2 , 23 * 9)

= (23 , 414)  & ( 46 , 207)