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21 vote

Two numbers, both greater than 29, have HCF 29 and LCM 4147. The sum of the numbers is :

Asked on by | Votes 21 | Views: 1184 | Tags: mathematics     | hcf and lcm     | quantitative aptitude     | ssc     | Add Bounty

Two numbers, both greater than 29, have HCF 29 and LCM 4147. The sum of the numbers is : 1). 966 2). 696 3). 669 4). 666

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2 answers

20 vote
Answered by on | Votes 20 |
I think option 2 is the right answer

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24 vote
Answered by on | Votes 24 |

Let the number be 29x and 29y respectively where x and y are prime to each other.

LCM of 29x and 29y = 29xy

Now, 29xy = 4147 xy =$\frac{4147}{29}$ = 143

Thus xy = 11 × 13

Numbers are 29 × 11 = 319 and 29 × 13 = 377

Required sum = 377 + 319 = 696

Accepted Answer