Question

HCF and LCM of 900 and 1260

Answer 1

Answer:

The sum of the HCF and LCM of two numbers is 1260.If their LCM is 900 more than the HCF,find the product of two numbers.

2

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LCM*HCF=1st no *2nd No

let HCF be x

lcm= 900+x

sum= 1260

x+x+900=1260

2x=360

x=180 , LCM=180+900=1080

HCF*LCM= PRODUCT OF NUMBERS

180*1080= PRODUCT

194400= product

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Given that the sum of HCF and LCM = 1260.

LCM + HCM = 1260 --------------------- (1)

Given that their LCM is 900 more than the HCF.

Let HCF = x. ------------ (2)

Then the LCM = 900 + x. ------------------- (3)

On solving (1),(2),(3).

1260 = x + (900 + x)

1260 = x + 900 + x

1260 = 2x + 900

1260 - 900 = 2x

360 = 2x

x = 360/2

x = 180.

Now, we got

HCF = 180.

Then, LCM = 900 + x

= 900 + 180

= 1080.

We know that product of two numbers = HCF * LCM

= 180 * 1080

= 194400.