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 :
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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2018-04-10 22:42:06 | Votes
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#
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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