Question

LCM of two numbers is 10 times their HCF . sum of their LCM and HCF is 495 if one number is 90 than find the other number​

Answer 1

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Answer 2

The other number is 225

Step-by-step explanation:

Let the HCF be x

We are given that LCM of two numbers is 10 times their HCF

LCM=10x

The sum of their LCM and HCF is 495

So, x+10x = 495

11x=495

$x=\frac{495}{11}$

x= 45

HCF = 45

LCM=10x=10(45)=450

One number = 90

$HCF \times LCM = \text{Product of two numbers}$

$45 \times 450 = 90 \times x$

$\frac{45 \times 450}{90}=x$

225=x

Hence the other number is 225

#Learn more:

The LCM of two numbers is 495 and their HCF is 5 .If the sum of these numbers is 10 difference is

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