Question

LCM of two numbers is double than the greater number . And the difference between smaller number and GCF is 4 . Then the smallest number is ____.

1) 8. 2)6. 3)12. 4)16.



PLEASE SOLVE THIS WITH METHOD.​

Answer 1

Answer:

option c iqs correct

hope you are understand

Answer 2

LCM of two numbers is double than the greater number . And the difference between smaller number and GCF is 4 . Then the smallest number is 8

Therefore, option (1) is correct.

Step-by-step explanation:

Let the two numbers be x and y

Where x > y

According to the question

LCM of x and y = 2x

y - GCF = 4

or, GCF = y - 4

We know that

Product of LCM and GCF of two numbers = Product of both the numbers

Therefore,

$2x(y-4) = xy$

$\implies 2xy-8x=xy$

$\implies xy-8x=0$

$\implies x(y-8)=0$

Since the product of two numbers is zero and x ≠ 0

Therefore,

y - 8 = 0

or, y = 8

Therefore, the smallest number is 8

Hope this answer is helpful.

Know More:

Q: The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1: 4, then the larger of the two number is ?

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