Question

The HCF and LCM of two numbers are 48 and 288 respectively. If one number is 96. find the other.

show in handwriting if possible
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Answer 1

Given

The HCF and LCM of two numbers are 48 and 288 respectively. If one number is 96.

To find

find the other number .

Solution

• HCF of two numbers = 48
• LCM of two numbers = 288
• One number = 96

As we know that

✞ LCM × HCF = Product of two numbers

Let the other number be " a "

➡ 288 × 48 = 96 × a

➡ 13824 = 96 × a

➡ a = 13824/96

➡ a = 144

$\large\mathtt{\underline{\boxed{\boxed{Required\:value\:of\:a=135}}}}$

Answer 2

let the other number be x

HCF×LCM = Product of two numbers

⇒48×288 = 96 × x

⇒ 13824 = 96x

⇒13824/96 = 96x/96                         (dividing both sides with 98)

⇒ 144 = x

Hence, the other number is 144

Hope it helps :)