1.

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). 182). 213). 64). 12

Answer»

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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