Question

The denominator of a fraction is 1 more than twice it's numerator. If 1 is added to numerator and denominator respectively, the ratio of numerator to denominator is 1:2.Find the fraction.

Answer 1

Hello friend

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According to the first condition

y = 2x + 1

: 2x + y = 1 ...............( i )

According to the second condition

x + 1/y+1 = 1/2

: 2(x + 1) = 1(y + 1)

2x + 2 = y + 1

2x - y = 1 - 2

2x - y = -1 ................( ii )


There can be infinite values tha will satisfy.One such possible values is

x = 4 and y = 9

Therefore, the fraction is 4/9


I hope this will helps you...

:)

Answer 2

According to the first condition

y = 2x + 1

: 2x + y = 1 . . . .( i )

According to the second condition

x + 1/y+1 = 1/2

: 2(x + 1) = 1(y + 1)

2x + 2 = y + 1

2x - y = 1 - 2

2x - y = -1 . . . .( ii )

There can be infinite values tha will satisfy.One such possible values is

x = 4 and y = 9

Therefore, the fraction is 4/9