The LCM of two numbers is 105 and numbers are in ratio of 5 : 3, then the sum of the numbers is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 56 .
Let numbers = 5k and 3k
LCM = k × LCM(5,3) = 15k
Given, 15k = 105
k = 105 ÷ 15 = 7
Numbers = 5×7 = 35 and 3×7 = 21
Sum = 35 + 21 = 56