Question

the hcf and lcm of two number are 8 and 96 respectively if one of the number is 32 find the other number
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Answer 1

. ☞ HCF of two numbers is 8 and LCM is 96. Also it is said that one number is 32. Let another number be M.

Answer 2

Answer:-

★ Given:-

• HCF of two numbers = 8

• LCM of two numbers = 96

• One of the number = 32

★ To Find:-

• Other Number

★ Property Used:-

▪︎The product of the HCF and LCM of two numbers is equal to the product of the two numbers.

★ Solution:-

Let the other number be x

➥ According to given conditions;

HCF × LCM = Product of Numbers

➥ Putting the given values

➟ 8 × 96 = 32 × x

➥ Solving the equation to know the value of x

➟ 8 × 96 = 32 × x

➟ 32x = 768

➟ x = 768 ÷ 32

➟ x = 24

∴ x = Other number = 24