Question

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

Answer 1

HCF + LCM = 1260

HCF + 900 = LCM

Solving the two,

LCM = 1080

HCF = 180

(HCF)(LCM) = Number1xNumber2

(180)(1080) = Number1xNumber2

The numbers are 180 and  108

Answer 2

Answer:

The product of two numbers is 194400.

Step-by-step explanation:

Given: The ""sum of LCM and HCF of two numbers is 1260""  

LCM + HCF = 1260

And their LCM is ""900 more than their HCF"" which means,

HCF + 900 = LCM  

Substitute in the above equation and solving,

HCF + 900 + HCF = 1260

2 HCF = 1260 - 900

HCF =180

LCM = 1080

HCF x LCM = 1080 x 180

Hence the product of the numbers are 180 x 1080 = 194400

Step-by-step explanation: