Practice30Create account

Two numbers are in the ratio 4 : 5, and their LCM exceeds their HCF by 228. Find the sum of the numbers.

Competition practiceNumber System, HCF & LCM
  • A108
  • B96
  • C120
  • D84

Step-by-Step Solution

Let the numbers be 4h and 5h, so HCF = h and LCM = 20h. Then 19h = 228 and h = 12: the numbers are 48 and 60, with sum 108.
Answer: A) 108

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Number System, HCF & LCM practice questions

More Number System, HCF & LCM practice

Add up all the natural numbers n for which LCM(n, 12) = 60. What is the total?Two numbers have HCF 11 and LCM 2310. How many such pairs of numbers are there (order…Three cyclists ride round a circular track, completing a lap in 252 s, 308 s and 198 s.…N is the greatest number that divides 2045, 3417 and 4887 leaving the same remainder…How many divisors of 7200 are perfect squares (count 1 as well)?