Two numbers are in the ratio 3 : 5. If their L.C.M. is 75. what is sum of the…
2025
Two numbers are in the ratio 3 : 5. If their L.C.M. is 75.
what is sum of the numbers?
- A.
25
- B.
45
- C.
40
- D.
50
Attempted by 4 students.
Show answer & explanation
Correct answer: C
Answer: 40
Explanation:
Let the two numbers be 3x and 5x (ratio 3 : 5).
Their LCM equals x × LCM(3,5) = 15x because LCM(3,5) = 15.
Set 15x = 75, so x = 75 ÷ 15 = 5.
The two numbers are 3x = 15 and 5x = 25.
Sum = 15 + 25 = 40.