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16 vote

HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is :

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HCF and LCM of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is :
1). 70
2). 77
3). 63
4). 56

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2 answers

43 vote
Answered by on | Votes 43 |

63 is the right answer

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39 vote
Answered by on | Votes 39 |
Let the numbers be 7x and 7y where x and y are co-prime. Now, LCM of 7x and 7y = 7xy 7xy = 140 xy =$\frac{140}{7}$ =20 Now, required values of x and y whose product is 50 and are coprime, will be 4 and 5. Numbers are 28 and 35 which lie between 20 and 45. Required sum = 28 + 35 = 63
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