Question

The HCF and LCM of 2 numbers are 9 & 270 respectively.if one of the numbers is 45 . What is the other number

Answer 1

AnsWer :

54.

GiveN :

• HCF of two number is 9.
• LCM of two number is 270.
• One number is 45.

To FinD :

Other number.

SolutioN :

☯ We have, Formula.

$\tt \dagger \: \: \: \: \: HCF \times LCM = Product \: of \: two \: number.$

☛ Let's,

• The Other number be x.

Now,

$\tt \longmapsto 9 \times 270 = 45 \times x.$

$\tt \longmapsto 9 \times 270 = 45x.$

$\tt \longmapsto 45x = 9 \times 270.$

$\tt \longmapsto x = \dfrac{9 \times 270}{45}$

$\tt \longmapsto x = \dfrac{ \cancel9 \times 270}{ \cancel{4 5}}$

$\tt \longmapsto x = \dfrac{270}{5}$

$\tt \longmapsto x = \dfrac{ \cancel{270}}{\cancel{5}}$

$\tt \longmapsto x = 54.$

✡ Therefore, the value of Other number is 54.