Question
HCF and LCM of two numbers are 13 and 455. If one number
lies between 60 and 70, then the other number lies betweenSolution
Let the numbers be 13m and 13n.
13m x 13n = 13 x 455 = 13 x 13 x 35
Or mn = 35
The co-prime numbers whose product is 35 are (5,7) and (1,35)
Hence, the no.s are 13 x 5 and 13 x 7 or 13 x 1 and 13 x 35
Or 65 and 91 or 13 and 455
Given that, one them lies between 60 and 70 ie 65,
Then the other number is 91 which lies between 90 and 100
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