Question

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 :

Answer 1

Answer:

The smallest number is 8

Step-by-step explanation:

Formula used:

Product of two numbers = Product of their L.C.M and G.C.M

Let the two integers be x and y with x > y.

As per given data,

L.C.M = 2x

y - G.C.D = 4

Also,

$L.C.M * G.C.D = xy$    (using formula)

$(2x)* (y-4) = xy$

$2xy-8x= xy$

$2xy-xy= 8x$

$xy= 8x$

$y= 8$

The smallest number is 8

Answer 2

Answer:

Step By Step Explanation: