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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?
- A18
- B21
- C6
- D12
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CCommunity
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
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