Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 105.
We know that,
a × b = L.C.M × H.C.F
Now, according to the question
Two numbers are in the ratio 3 : 4 = 3x : 4x
⇒ 3x × 4x = 2700
⇒ 12x2 = 2700
⇒ x2 = 225
⇒ x = 15
a = 3x = 45
b = 4x = 60
The sum of the numbers = 45 + 60 = 105