the L.C.M. of two numbers is 48.The numbers are in the ratio 2:3.whats is The sum of the numbers ?
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Let the numbers be 2a and 3a
HCF = a
LCM = 48
Product of numbers = LCM *HCF
=> 2a *3a = 48 * a
=> 6a = 48
=> a = 8
First number = 16
Second number = 24
Sum of numbers = 16 + 24
= 40
HCF = a
LCM = 48
Product of numbers = LCM *HCF
=> 2a *3a = 48 * a
=> 6a = 48
=> a = 8
First number = 16
Second number = 24
Sum of numbers = 16 + 24
= 40
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