The ratio of two numbers is 3 : 4 and their LCM is 120. The sum of the numbers…
2019
The ratio of two numbers is 3 : 4 and their LCM is 120. The sum of the numbers is:
- A.
70
- B.
35
- C.
140
- D.
105
- E.
84
Attempted by 77 students.
Show answer & explanation
Correct answer: A
Let the two numbers be 3x and 4x, since their ratio is 3 : 4.
LCM of 3x and 4x = 12x, because LCM of 3 and 4 is 12.
Given that LCM is 120, so 12x = 120.
Solving for x: x = 120 / 12 = 10.
Therefore, the numbers are 3 × 10 = 30 and 4 × 10 = 40.
Sum = 30 + 40 = 70.
हिन्दी उत्तर:
माना दो संख्याएँ 3x और 4x हैं, क्योंकि उनका अनुपात 3 : 4 है।
3x और 4x का LCM = 12x, क्योंकि 3 और 4 का LCM 12 है।
दिया गया है कि LCM 120 है, इसलिए 12x = 120।
x का मान निकालने पर: x = 120 / 12 = 10।
इसलिए, संख्याएँ 3 × 10 = 30 और 4 × 10 = 40 हैं।
योग = 30 + 40 = 70।