Question

The denometer of rational number is greater than the numerator 4.if the numerator by decrease by 5and demorator decrese by 2 . The number obtained is 4/5 .what is rational number.
Answer

These rational number be (x/y) = 33/37

Step - by - Step - Explanation

Answer 1

Answer:

Given:-

The denominator of rational number is greater than the numerator 4.

the numerator decrease by 5 and denominator decrease by 2 , The number obtained is 4/5

Find :-

These Rational Number

Now, Going To Explanation ,

Let,

Numerator be = x

Denominator be = y

A /C to question,

(The denominator of rational number is greater than the numerator 4)

➡ y = x + 4

➡x - y = -4 _____________(1)

Again,

(the numerator decrease by 5 and denominator decrease by 2 , The number obtained is 4/5)

➡(x-5)/(y-2) = 4/5

➡ 5 × (x-5) = 4 × (y-2)

➡5x - 4y = -8 + 25

➡5x - 4y = 17 ____________(2)

Multiply by 5 in equ(1)

➡5x - 5y = -20 ___________(3)

Subtract equ(2) & equ(3)

➡-4y + 5y = 17 + 20

➡y = 37

Keep value of (y=36) in equ(2)

➡5x - 4×37 = 17

➡5x = 17 + 148

➡5x = 165

➡x = 165/5

➡x = 33

_______________

Answer 2

Answer:

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