The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4.The smaller number is :
The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4.The smaller number is : 1). 12 2). 6 3). 8 4). 10
Let the numbers be x H and
yH where H is the HCF and yH
> x H.
LCM = xy H
xyH = 2yH Þ x = 2
Again, x H – H = 4
2H – H = 4 Þ H = 4
Smaller number = x H = 8