L.C.M of two numbers is 120 and their H.C.F. is 10. Which of the following can be the sum of those two numbers ?
L.C.M. = 120 and H.C.F. = 10
Let the numbers be $$10a , 10b$$ ย ย (where a,b are co prime)
=> $$10a \times 10b = 120 \times 10$$
=> $$a \times b = 12$$
Since a,b are co primes, the only possibility is $$a = 3 , b = 4$$ ย ย (or vice-versa)
=> Numbers = 30 and 40
$$\therefore$$ Sum = 30 + 40 = 70
Create a FREE account and get: