Question

the lcm of two numbers is 12 times their hcf . the sum of hcf and lcm is 403.if one number is 93,then find the other numbers?

Answer 1

1 no. Is 93
2nd no. Is 124
HCF is 31
Lcm is 372
Pls mark brainliest and thanks

Answer 2

Answer:

The numbers are 93 which is given  and 124 is the other number.

Step-by-step explanation:

Explanation:

Given , the lcm of two numbers is 12 times their hcf .

sum of hcf and lcm  = 403

and one number is 93 .

Let the HCF  of two number be x .

Step 1:

Therefore if HCF be x than LCM become 12x .

And also given that sum of LCM and HCF = 403

⇒x + 12x = 403

⇒ 13x = 403

⇒ x = $\frac{403}{13}$ = 31 .

So the HCF of two number is 31 and

LCM of two numbers = 12 × 31 = 372

Step 2:

Now , let the second number be y .

Then by formula we know that ,

product of numbers = product of LCM and HCF of that number

⇒93 × y = 31 × 372

⇒ y = $\frac{11532}{ 93 } = 124$

Final answer:

Hence, the  other  number is 124 .

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