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  1. 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
    1. 68
    2. 72
    3. 86
    4. 91
Correct Option: D

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



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