Question

The LCM and HCF of two numbers is 72 and 6, respectively. If one of the numbers is 24, find the other.

Answer 1

S O L U T I O N :

$\underline{\bf{Given\::}}$

• The L.C.M. & H.C.F. of two numbers is 72 & 6.
• One number = 24

$\underline{\bf{Explanation\::}}$

Let the other number be r.

As we know that;

$\boxed{\bf{Product\:of\:two\:numbers = H.C.F \times L.C.M}}$

A/q

$\mapsto\tt{24 \times r = 72 \times 6}$

$\mapsto\tt{24 \times r = 432}$

$\mapsto\tt{ r = \cancel{432/24}}$

$\mapsto\bf{r = 18}$

Thus,

The other number will be 18 .

Note :

Full name of H.C.F & L.C.M.

• H.C.F = Highest Common Factor
• L.C.M = Lowest Common Multiple