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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
- A68
- B72
- C86
- D91
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CCommunity
91 is the correct answer as per the ssc answer key
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CCommunity
Let the numbers be 3x and 4x
respectively
First number × second number
= HCF × LCM
3x × 4x = 2028
$x^{2}=\frac{2028}{3\times 4}$ =169
x = $\sqrt{169}$ = 13
Sum of the numbers
= 3x + 4x = 7x = 7 × 13 = 91
respectively
First number × second number
= HCF × LCM
3x × 4x = 2028
$x^{2}=\frac{2028}{3\times 4}$ =169
x = $\sqrt{169}$ = 13
Sum of the numbers
= 3x + 4x = 7x = 7 × 13 = 91