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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

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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
1). 68
2). 72
3). 86
4). 91

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2 answers

1 vote
Answered by on | Votes 1 |
91 is the correct answer as per the ssc answer key

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1 vote
Answered by on | Votes 1 |
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
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