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