Question

The L.C.M of given two number is double of the greater number.The difference between smaller number and G.C.F is 4. Find the smaller number​

Answer 1

Answer:

smaller number is 8

Step-by-step explanation:

Let greater number be A and smaller number be B

LCM = 2A

B - GCF = 4 --------> (1)

LCM x GCF = A x B

2A x GCF = A x B

2GCF = B

GCF = B / 2 ---------> (2)

sub (2) in (1)

B - (B/2) = 4

2B - B = 8

B = 8

smaller number B = 8