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two numbers are in the ratio …

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two numbers are in the ratio 1:2if 7 is added to both their ratio becomes 3:5 find the greater number

  • 2 answers

Naveen Sharma 7 years, 4 months ago

Let the first number = x

second number = y

then as per quesiotn, 

x/y = 1/2 => y = 2x  ...... (1)

according to 2nd condition, 

(x+7)/(y+7) = 3/5

=> 5x + 35 = 3y + 21

=> 5x-3y = 21 - 35

=> 5x - 3y = -14 .......... (2)

put value of y from (1)

5x - 3 * 2x = -14

5x-6x = -14

-x = -14 

x = 14 

y = 2*14 = 28 

 

greater number is 28

 

 

Shruti Dadhwal 7 years, 4 months ago

x/y = 1/2 

2x=y

x+7/ y+7 = 3/5

5x+35= 3y+ 21

Now y=2x , substituting it's value 

5x+ 35= 3(2x)+ 21

6x-5x = 35-21= 14 

x=14

y= 2x= 28

So the greater number is 28

 

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