Two numbers are in the ratio 3 : 4. The product of their

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Two numbers are in the ratio 3 : 4. The product of their H.C.F. and L.C.M. is 2028. The sum of the numbers is

Let the numbers be 3p and 4p respectively
As we know that ,
First number × second number = HCF × LCM
⇒ 3p × 4p = 2028

⇒ p² =	2028	= 169
	3 × 4

∴ p = √169 = 13
∴ Sum of the numbers = 3p + 4p = 7p = 7 × 13 = 91