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The ratio of two numbers is 5 : 7 and their LCM is 105. If X is the ratio of sum of the numbers and difference of the numbers. What is the value of X?

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The ratio of two numbers is 5 : 7 and their LCM is 105. If X is the ratio of sum of the numbers and difference of the numbers. What is the value of X?
1). 18
2). 21
3). 6
4). 12


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1 answers

-1 vote
Answered by on | Votes -1 |

Let the two numbers be 5x and 7x respectively.

LCM of 5x and 7x is 35x.

⇒ 35x = 105

⇒ x = 105/35 = 3

⇒ The sum of the two numbers = 5 × 3 + 7 × 3 = 15 + 21 = 36

Difference of the two numbers = 21 – 15 = 6

X = 36/6 = 6

∴ X = 6

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