The LCM of two numbers is 44 times of their of HCF. The sum of the LC…

Question

The LCM of two numbers is 44 times of their of HCF. The sum of the LCM and HCF is 1125. If one number is 25 then the other number is = ?

Accepted Answer

Option A. 1100. Answer & Solution Answer: Option A Solution: & Let HCF = x & LCM = 44x & given HCF + LCM & = 44x + x = 45x & 45x = 112 5 & x = 112545 = 25 & HCF = 25 & LCM = 25 × 44 & also given that one number & = 25 & Let another number = y & 25y = 25 × 25 × 44 & y = 25 × 25 × 4425 & y = 1100