Question

The LCM of two numbers is 15 times their HCF . Also the sum of LCM and HCF is 640. If one number is 200 find the other after how many decimal places​

Answer 1

Step-by-step explanation:

thank You friendsssssssss.

Answer 2

Correct question: The LCM of two numbers is 15 times their HCF. Also, the sum of LCM and HCF is 640. If one number is 200, find the other number.

The other number is 180.

Given:

The LCM of the two numbers is 15 times their HCF.

The sum of LCM and HCF is 640.

The first number is 200.

To Find:

Find the other number.

Solution:

Let's suppose the HCF$=x$

So, we will get LCM $=15x$

now, it is given that the sum of LCM and HCF is $640$.

so, $x+15x=640$

now, after solving the above equation we will get,

$16x=640\\x=\frac{640}{16} \\x=40$

we get the value of $x=40$

Hence, the HCF $=40$

then, the LCM $=40\times 15=900$

Now, the product of two numbers $=HCF\times LCM$

so, $200\times other number=40\times 900$

now, after calculating the above equation, we get

$other number=\frac{40\times 900}{200} \\=180$

Hence, the other number is 180.