The LCM of two numbers is 120 and the numbers are in the ratio 3 : 8. The sum of the numbers will be:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 55.
Let the first and second numbers be 3x and 8x
HCF of 3x and 8x = x
We know that,
a × b = L.C.M × H.C.F
⇒ LCM × HCF = 3x × 8x
⇒ 120 × x = 3x × 8x
⇒ 120/24 = x
⇒ x = 5
The sum of the numbers = 3x + 8x = 11x
⇒ 11 × 5 = 55