Linear Equations in One Variable - Solutions 6

CBSE Class –VIII Mathematics
NCERT Solutions
CHAPTER - 2
Linear Equations in One Variable (Ex. 2.6)

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Solve the following equations.

1. 

Ans.      

 
    
 
     
 

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2. 

Ans.      

 
   
 
    

 

 

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3.  

Ans.      

 
    
 
    
 

 

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4. 

Ans.      

 
   
 
   
 
 

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5. 

Ans.      

 
   
 
    
 
 

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6. The ages of Hari and Harry are in the ratio 5 : 7. Four years from now the ratio of their ages will be 3 : 4. Find their present ages.

Ans. Let the Ages of Hari and Harry be years and  years.

According to question,  

  

 

   

 

 

Hence, the age of Hari =  = 

= 20 years

And the age of Harry =  =  

= 28 years.

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7. The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is  Find the rational number.

Ans. Let the numerator of a rational number be  then the denominator is 

Therefore, Rational number = 

According to the question,

  

 

 

 

 

 

 

Hence, the required rational number

=