Question

L.C.M of given two numbers is double the greater number. And difference between smaller number and G.C.F is 4.terefore the smallest number?​

Answer 1

Step-by-step explanation:

LCM × GCF = Product of the numbers

LCM × GCF = x × y

2x × ( y -4 ) = xy

2xy - 8x - xy = 0

xy - 8x = 0

x ( y - 8) = 0

x = 0 and y = 8

Now, the value of x can not be zero, thus -

HCF = y - 4

= 8 - 4 = 4

Answer: The smallest number is 8.