Answer :

**Given:**The sum of LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF.**To find: **The product of two numbers.**Solution:** Let LCM be x and HCF be y.

Then, by given condition,Sum of LCM and HCF

x + y = 1260 (1)

x = 900 + y

Substituting x = 900 + y in equation (1)

900 + y + y = 1260

900 + 2y = 1260

2y = 360

y = 180

Then, x = 900 + 180 = 108

Thus, LCM = 1080 and HCF = 180

We know that for any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.

1080 × 180 = 194400

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation