CBSE Class 9 Answered
The sum of two numbers is 52 and their L.C.M is168.Find the two numbers.
Asked by vakul.goyle | 30 Apr, 2010, 10:16: AM
Expert Answer
we know that the addition of two numbers is divisile by their HCF
So if H is the HCF of the given numbers then H divides the sum 52.
so H is a factor of 52
also H must be a factor of the LCM.(as the hcf of two numbers has to be a factor of their lcm)
so H must be the hcf of 52 and 168
so H=4
product of two numbers= product of hcf and lcm
let one number be x, so the other number must be 52-x
so
x(52-x)=4 x 168
(x-24)(x-28)=0
x=24 or 28
Answered by | 04 May, 2010, 08:28: PM
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