Question

A product of two number is 1452 and hcf is 11. Find the number of pair of numbers

Answer 1

Here is your solution

Answer 2

Answer:

The number of pair of numbers such that all the given properties are satisfied are:

           1 pair

(33 and 44)

Step-by-step explanation:

Let a and b be two numbers.

We know that:

Product of two numbers=LCM of two numbers × HCF of two numbers

i.e.

1452=LCM(a,b)×11

⇒  LCM(a,b)=132=11×4×3

Also,

1452=11×11×12

and

1452=11×11×2×2×3

Hence, the possibilities of the numbers such that:

LCM(a,b)=132  and HCF(a,b)=11 and Product=1452 is:

                     44(11×4)

and                33(11×3)