Question

115
11.The sum of the numerator and denominator of a fraction is 12. If the denominator is
increased by 3, the fraction becomes 1/2. find the fraction.

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Answer 1

Answer:

Step-by-step explanation:

let the numerator be x and denominator be y

Case - 1:-

x + y = 12

Case - 2:-

$\frac{x}{y+3}$ = $\frac{1}{2}$

2x = y+3

2x- y = 3

Solving 1 and 2,

3x= 15

x=5.

y=7

fraction = $\frac{5}{7}$

Answer 2

Answer:

LET THE NUMERATOR IS X AND DENOMINATOR IS Y.

IST CONDITION:

X+Y=12      .......(1)

2nd CONDITION:

X/Y+3 =1/2

2X=Y+3

Y=2X-3   .......(2)

PUT  1 IN 2

X+2X-3=12

3X=15

X=5        IN (2)

Y=2(5)-3

  =10-3

   =7

THEREFORE, FRACTION IS 5/7

THAT IS YOUR ANSWER.

Step-by-step explanation: