From each of the two given unequal numbers, half the smaller

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From each of the two given unequal numbers, half the smaller number is subtracted. Then, of the resulting numbers, the larger one is five times than the smaller one. Then the ratio of the larger to smaller one is

1. 2 : 1
2. 3 : 2
3. 3 : 1
4. 1 : 4

Correct Option: C

let the numbers be x and y where x > y.

∴ x −	y	= 5		y −	y		=	5y
	2				2			2

⇒ x =	y	+	5y	= 3y ⇒	x	=	3
	2		2		y		1