The Lcm Of Two Numbers Is 9 Times Their Hcf The Sum Of Lcm And Hcf Is 500 Find The Hcf Of Two Numbers

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The Lcm Of Two Numbers Is 9 Times Their Hcf The Sum Of Lcm And Hcf Is 500 Find The Hcf Of Two Numbers. Specifically, the lcm is 9 times the hcf, and their sum is 500. We also know that the sum of the lcm.

[CBSE 2019]11. The LCM of two numbers is 9 times their HCF. The sum of L..
[CBSE 2019]11. The LCM of two numbers is 9 times their HCF. The sum of L.. from askfilo.com

For example, if the two numbers were 50 and 450, then their hcf would indeed be 50, and the lcm can be. Let the hcf of two numbers = x then, according to question lcm of two numbers = 9x it is also given that lcm + hcf = 500 ⇒ 9x + x = 500 ⇒ 10x = 500. Then, lcm = 9x according to the question, $\mathrm {lcm}+\mathrm {hcf}=500$ $\rightarrow 9 x+x=500$ $\rightarrow 10 x=500$ $\rightarrow.

For Example, If The Two Numbers Were 50 And 450, Then Their Hcf Would Indeed Be 50, And The Lcm Can Be.


We also know that the sum of the lcm. We are told that the lcm (least common multiple) of two numbers is 9 times their hcf (highest common factor). Let the hcf of two numbers = x then, according to question lcm of two numbers = 9x it is also given that lcm + hcf = 500 ⇒ 9x + x = 500 ⇒ 10x = 500.

Specifically, The Lcm Is 9 Times The Hcf, And Their Sum Is 500.


For example, if the hcf is 50, then the lcm would be 450,. The sum of the lcm and hcf is given as 500. Then, lcm = 9x according to the question, $\mathrm {lcm}+\mathrm {hcf}=500$ $\rightarrow 9 x+x=500$ $\rightarrow 10 x=500$ $\rightarrow.

Hcf Of Two Numbers Proof:


Let the hcf of two numbers be x. Let the hcf be denoted as 'h'. The sum of lcm and hcf is 500.

Given That The Lcm Of The Two Numbers Is 9 Times Their Hcf, So Lcm = 9H.


H + 9h = 500. According to the problem, the lcm is 9 times the hcf, so we can express the lcm as '9h'. Therefore, we can write the equation:

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