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aivan3 [116]
2 years ago
15

The prices of two radios are in the ratio x:y

Mathematics
2 answers:
kobusy [5.1K]2 years ago
4 0

Answer:

<u>4:1</u>

Step-by-step explanation:

2(x+20) = 5(y+20)

2x + 40 = 5y + 100

2x - 5y = 60

1(x-5) = 5(y-5)

x - 5 = 5y - 25

x - 5y = -20

<u>x = 80</u> (solve the two equations simultaneously)

80 - 5y = -20

5y = 100

<u>y = 20 </u>

x:y = 80:20

x:y = 4:1

PolarNik [594]2 years ago
3 0

Answer:

x : y = 4 : 1

Step-by-step explanation:

(x+20) : (y+20) = 5 : 2    and   (x-5) : (y-5) = 5 : 1

When we multiply the outer and inner members we get:

2x+40 = 5y+100     and  x-5 = 5y-25

When we arrange the both equations we get:

2x-5y = 60  and x-5y = -20

When we subtract second equation from the first we get:

x = 80   Now we will replace x=80 in the second equation and get:

80-5y = -20 => -5y= -20-80 => -5y= - 100  

Now we will multiply the both sides with number (-1) and get:

5y= 100 => y= 100/5 = 20 => y=20

x : y = 80 : 20 => x : y = 4 : 1

God with you!!!


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