The ratio between two numbers is 2 : 3. If each number is

The ratio between two numbers is 2 : 3. If each number is increased by 4, the ratio between
them becomes 5 : 7. The difference between the numbers is

Let the numbers be 2x and 3x.

∴	2x + 4	=	5
	3x + 4		7

∴ 15x + 20 = 14x + 28
⇒ x = 28 – 20 = 8
= Required difference
Second Method :
Here, a = 2, b = 3,c = 5, d = 7 and x = 4

1st Number =	xa(c − d)
	ad − bc

=	4 × 2(5 − 7)
	2 × 7 − 5 × 3

=	8 × −2	= 16
	14 − 15

2nd Number =	xa(c − d)
	ad − bc

=	4 × 3(5 − 7)
	2 × 7 − 5 × 3

=	4 × 3 (−2)	= 24
	14 − 15

Difference of numbers
= 24 – 16 = 8