Question

The hcf and lcm of two number is 8 and 96 respectively if one number is 32 what is the other number

Answer 1

the second no. is 24
hope this helps you...

Answer 2

☞ HCF of two numbers is 8 and LCM is 96.

• HCF = 8

• LCM = 96

Product of two numbers = LCM × HCF

=> 96 × 8

• Also it is said that one number is 32.

Let another number be M.

Then;

=> M × 32 = 8 × 96

=> M = $\dfrac{8\:\times\:96}{32}$

=> M = $\dfrac{768}{32}$

=> M = 24

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Other number = M = 24

_____________ $\bold{[ANSWER]}$

✡ Product of two numbers = LCM × HCF

The two numbers are : 32 and 24

LCM = 96 and HCF = 8

=> 32 × 24 = 96 × 8

=> 768 = 768

____________ [HENCE VERIFIED]