Question

the HCF of the two number is 11 and their LCM is 616 if one of the number is 88 find the other​

Answer 1

Answer:

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Explanation:

Given :-

• HCF of two numbers = 11

• LCM of two numbers = 616

• one number = 88

To find :-

Other number.

Solution:-

Let the two numbers be a and b.

As we know that,

sum of two numbers = product of their lcm & hcf

(a x b) = HCF (a,b) x LCM (a,b)

a = 88

HCF = 11

LCM = 616

=> 88 x b = 11 x 616

=> 88 x b = 6776

=> b = 6776/88

=> b = 77

Hence ,

The other number is 77.

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FORMULAS:-

LCM×HCF = product of two numbers.

HCF = product of two numbers/LCM

LCM = product of two numbers/HCF

Answer 2

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• HCF of two numbers = 11

• LCM of two numbers = 616

• One number = 88

${ \huge{ \underline{ \underline{ \sf{ \green{To \: find :}}}}}}$

• What's the other number?

Formula to be used :-

• Product of two numbers = HCF × LCM

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Let the two numbers be x and y.

Given that,

x = 88

HCF = 11

LCM = 616

We know that,

Product of two numbers = HCF × LCM

⟹ ( x × y) = 11 × 616

⟹ 88 × y = 6776

⟹ y = 77

Hence , the other number is 77.

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Know more :-

• HCF = product of two numbers/LCM

• LCM = product of two numbers/HCF