Question

the ratio of two no. is 2/3. if 2 is subtracted from the first and 8 from the second...the ratio becomes the reciprocal of the original ratio. find the no.
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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

let the first no be 2x and the second be 3x

if 2 is subtracted from the first no then the equation is

2x-2

if 8 is subtracted from the second no then the equation is

3x-8

and then the ratio becomes 3:2

let 2x-2=3y......(1)

and 3x-8=2y.....(2)

add equation (1) and (2)

(2x-2=3y)+(3x-8=2y)

5x-10=3y

5x-3y=10......(3)

subtract equation (1) from (2)

(3x-8=2y)-(2x-2=3y)

x-6=-y

x+y=-6....(4)

multiply equation (4) by 3

3x+3y=-18....(5)

add equation (3) and (5)

(5x-3y=10)+(3x+3y=-18)

8x=-8

x=-1

first no is 2x=2x-1=-2

second no is 3x=3x-1=-3