Question

The LCM of two numbers is 9 times their HCF.the sum of Lcm and HCF is 500. Find the HCF of the two numbers.
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Answer 1

Let HCF be x

So, LCM=9x

According to given,

9x+x=500

10x=500

x=500/10

x=50

Therefore, HCF= 50

Answer 2

Answer:

$\huge \red a \red n \red s \red w \red e \red r \over$

Given:-

LCM:- 9×HCF

LCM+HCF = 500

To Find:-

The value of LCM

$\huge \green s \red o \orange l \green u \red t \green i o \red n \over$

LCM+HCF = 500

Given LCM = 9HCF

9HCF + HCF= 500

10 HCF = 500

$\: hcf = \frac{500}{10} = 50$

HCF = 500

• Using HCF= 50 in LCM + HCF = 500

• LCM+ HCF= 500 [HCF = 50]

• LCM + 50 = 500

• LCM = 500 - 50

• LCM = 450

$\huge hence \: verified$