Linear Equations in One Variable (IMO Mathematics Olympiad Class 8): Questions 34  40 of 61
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Question number: 34
» Linear Equations in One Variable
Question
The denominator of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 3 is added to its denominator, the new number becomes . The original number is_.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 35
» Linear Equations in One Variable
Question
Solve for
Choices
Choice (4)  Response  

a.  5 

b.  10 

c.  12 

d.  3 

Question number: 36
» Linear Equations in One Variable
Question
The difference of two numbers a and b is 10 and difference of their cubes is 10. Then find the numbers b.
Choices
Choice (4)  Response  

a.  i 

b.  i 

c.  i 

d.  i 

Question number: 37
» Linear Equations in One Variable
Question
A number consists of two digits whose sum is 9. If 63 is subtracted to the number, the digits are interchanged. The number is_.
Choices
Choice (4)  Response  

a.  82 

b.  88 

c.  18 

d.  81 

Question number: 38
» Linear Equations in One Variable
Question
A number consists of two digits whose sum is 5. If 9 is added to the number, the digits are interchanged. The number is_.
Choices
Choice (4)  Response  

a.  32 

b.  23 

c.  88 

d.  31 

Question number: 39
» Linear Equations in One Variable
Question
The value of for which is_.
Choices
Choice (4)  Response  

a.  7 

b. 


c.  6 

d. 


Question number: 40
» Linear Equations in One Variable
Question
Solve for
Choices
Choice (4)  Response  

a.  9 

b. 


c.  2 

d.  1 
