Question

Represent the situation algebraically. The denominator of a rational number is greater than its numerator by 4. If the numerator is increased by 11 and the denominator is decreased by 1 , the new number becomes 7/3.

Answer 1

Answer:

Two equations will be formed

Let  x be numerator

let  y be denominator

A.T.Q

x=y+4 ( name this equation as 1)

x+11/x+4-1 = 7/3 (name this equation as 2)

By cross-multiplication method

3(x+11)= 7(x+3)

3x+33= 7x+21

4x=12

x=3

x+4=y= 7

So the original fraction was 3/7 which then became 14/6

Merk as BRAINLIEST

Answer 2

Answer:

x+11=3/x+3=7

Step-by-step explanation:

let the numerator = x

let the denominetor be y

A/q,

x+11/×+4-1 =7/3

by cross multiplication

3(x+11) = 7(x+3)

3x+33=7x+21

4x=12

x=12/4

x=3

x+ 4y =7

so,

X+11=3

x+3=7