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:

  1. A.

    70

  2. B.

    35

  3. C.

    140

  4. D.

    105

  5. E.

    84

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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।

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