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:

Step-by-step explanation:

Let a and b, a>b be the two numbers

GIVEN

LCM = 2a

b - GCF = 4 ⇒ GCF = b-4

CALCULATION

We know that

LCM x GCF = a x b

⇒ 2a x (b-4) = a x b

⇒ 2a x (b- 4) - ab = 0

⇒ a x [2(b-4) - b] = 0

Since a cannot be zero

⇒ 2(b-4)-b = 0

⇒ 2b - 8 - b = 0

⇒ b = 8