Math, asked by sihhsjjs2799, 9 months ago

If 1 is added to the numerator the fraction become 1/2 and 1 is added to the denominator the fraction becomes 1/3 find the number

Answers

Answered by vikhyat04
0

Let the numerator be 'x' and the denominator be 'y'

Fraction = x/y

(x+1)/y = 1/5                   [According to question]

5x+5 = y                         [Cross Multiplication]

5x-y = -5 ......................... (1)

x/(y-1) = 1/7                   [According to question]

y-1 = 7x                         [Cross Multiplication]

7x-y = -1 ........................ (2)

[Elimination Method]

   5x -  y =     -5

(-)7x(+)y = (+)1              [Symbols of equation change]

---------------------

 -2x        =     -4

x = -4/-2 = 2

Since,

5x-y = -5

y = 5x+5 = 15

Therefore,

Fraction = 2/15

Answered by nikhil1623
0

Answer: 3/8

Step-by-step explanation:

Let the fraction be x/y

Given,

(x + 1) / y = 1/2

=> 2x + 2 = y ------(i)

Also,

x / (y + 1) = 1/3

=> 3x = y + 1

=> 3x - 1 = y ------(ii)

Subtracting,

(i)-(ii)

=> 2x + 2 = y

-(3x - 1) = -y

=> -x + 3 = 0

=> -x = -3

=> x = 3

Substituting the value of x in (i),

2 × 3 + 2 = y

y = 8

Therefore, the fraction

= x/y

= 3/8

Hope it helped :)

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