The LCM of two numbers is 4 times their HCF. The sum of

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The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the number is 100, then the other number is

Let LCM be L and HCF be H, then
According to question ,
L = 4H
sum of LCM and HCF = 125
⇒ H + 4H = 125
⇒ 5H = 125

⇒ H =	125	= 25
	5

∴ L = 4 × 25 = 100

∴ Second number =	L × H
	First number

Second number =	100 × 25	= 25
	100