Question

The denominator of a rational number is 7 more than the numerator. If
both the numerator and denominator are increased by 3, the number
obtained is 6
13
. Find the numerator.

Answer 1

Answer:

Numerator = 3

Denominator = 10

So, Fraction = 3/10

Step-by-step explanation:

By Initial Consideration,

Numerator = x

Denominator = y

According to Condition,

y = x + 7 → (1)

x + 3/y + 3 = 6/13

[Cross Multiplying or Multiply (x + 3) by 13 and (y + 3) by 6

13 (x + 3) = 6 (y + 3)

13x + 39 = 6y + 18

13x - 6y = 18 - 39

13x - 6y = -21 → (2)

Substitute value of (1) in (2)

13x - 6y = -21

13x - 6(x + 7) = -21

13x - 6x - 42 = -21

13x - 6x = -21 + 42

7x = 21

x = 21/7

x = 3

Substitute value of x in (1)

y = x + 7

= 3 + 7

= 10

So, Numerator (x) = 3

Denominator (y) = 10

Fraction (x/y) = 3/10

Answer 2

Answer:

follow   i n  s t a g r a m =  niral161

Step-by-step explanation:

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