If 4y – 3x = 5, what is the smallest integer value of x for which y>100?

A    130

B    131

C    133

D    395

Solution

Correct Answer: Option C

 

Since 4y - 3x = 5

 

=>4y = 5 + 3x

 

=>4y - 5 = 3x

 

=>3x = 4y - 5

 

if you look at the equation you will notice that x is directly proportional to  y

 

therefore if we increase the value of y, x is also increases.

 

If the value of y is smallest then the x is also smallest.

 

Since y>100

 

therefore the smallest value of y = 101

 

therefore the equation is  3x = 4 X 101 - 5

 

=> 3x = 404 -5

 

=> x = 399/3

 

=> x = 133

 

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