Question

the hcf of two number is 16 and there LCM is 96, if one of the number is 32 then what will be the other number​

Answer 1

48 is the other number_Answer

Answer 2

☞ HCF of two numbers is 16 and LCM is 96.

• HCF = 16

• LCM = 96

Product of two numbers = LCM × HCF

=> 96 × 16

• Also it is said that one number is 32.

Let another number be M.

Then;

=> M × 32 = 16 × 96

=> M = $\dfrac{16\:\times\:96}{32}$

=> M = $\dfrac{1536}{32}$

=> M = 48

______________________________

Other number = M = 48

_____________ $\bold{[ANSWER]}$

✡ Product of two numbers = LCM × HCF

The two numbers are : 32 and 48

LCM = 96 and HCF = 16

=> 32 × 48 = 96 × 16

=> 1536 = 1536

____________ [HENCE VERIFIED]