Question

L. C. M of then 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 = 8

Step-by-step explanation:

Let the two numbers are a ( smaller) & b ( greater)

Given, L. C. M of then given two numbers is double the greater number.

=> L. C. M = 2b

given, the difference between smaller number and G. C. F is 4

=> a - G. C. F = 4

=> G. C. F = a - 4

We know that,

product of two numbers is equal to the product of their LCM & GCF

=> a x b = 2b x ( a - 4 )

=> a = 2 ( a - 4 )

=> a = 2a - 8 => 2a - a = 8

=> a = 8

.•. smaller number = 8