Q.

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


see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

     203400

b

     194400

c

     198400

d

     205400 

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given,the sum of LCM and HCF of two numbers is 1260 and LCM is 900 more than their HCF.
Let a and b be two numbers and let x be the LCM and y be the HCF.
Sum of LCM and HCF of two numbers is 1260.
x+y=1260(1) LCM is 900 more than their HCF xy=900(2)  
Add (1) and (2)
x+y+xy=1260+900 2x=2160 x= 2160 2 x=1080 That is, LCM (a,b)=1080  
Subtract (2) from (1)
x+y(xy)=1260900 2y=360 y= 360 2 y=180   That is, HCF (a, b) = 180.
a×b =LCM(a,b)×HCF(a,b) =1080×180 =194400  
Therefore, product of two numbers is 194400.
Hence the correct option is 2.
 
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon