The ratio of two numbers is 3 : 8 and their difference is

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The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :

1. 184
2. 194
3. 69
4. 59

Correct Option: C

Let the numbers be 3x and 8x.
∴ 8x – 3x = 115

⇒ 5x = 115 ⇒ x =	115	= 23
	5

∴ The smaller number
= 3x = 3 × 23 = 69