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Find two numbers such that if 3 is subtracted from each of them, they will be in the ratio 2:3, while if 5 is added to each of them, they will be in the ratio 4:3.

Sagot :

Answer:

-1 and ⅓

Step-by-step explanation:

let x be the first number and y be the second number

x-3:y-3::2:3

3x-9=2y-6

3x-2y=3

x+5:y+5::4:3

3x+15=4y+20

3x-4y=5

3x-2y=3

3x-4y=5

2y=-2

y=-1

substitute

3x-2(-1) = 3

3x+2=3

3x=1

x=1/3

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