Question

Two numbers are in the ratio 3:5. If 4 is subtracted from each number , the ratio becomes 5:9 Find the original numbers

Answer 1

Step-by-step explanation:

Let the numbers be 3x and 5x

A.T.Q

$\frac{3x - 4}{5x - 4} = \frac{5}{9 }$

$9(3x - 4) = 5(5x - 4)$

$27x - 36 = 25x - 20$

Rearranging variables and constants

$27x - 25x = - 20 + 36$

$2x = 16$

$x = 8$

Hence the numbers are:

$3x = 3 \times 8 = 24$

$5x = 5 \times 8 = 40$

Answer 2

Answer:

First number= -24

Second number= -40

Step-by-step explanation:

Let the first number be 3x and second number be 5x

When 4 is added,the equation becomes

(3x+4)/(5x+4)

According to question

(3x+4)/(5x+4)=5/9

By cross multiply, we get

27x+36=25x+20

27x-25x=20-36

2x= -16

x= -16/2

x= -8

Therefore,3x=3×(-8)= (-24)

5x=5×(-8)= -40

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