Question

L.C.M. of the given two numbers is double the greater number. And the difference between smaller number and G.C.F. is 4. Therefore the smaller number is …………

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

B/2 = 4

B = 8

smaller number B = 8