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Q: If the difference of two numbers is 7 and the difference of their squares is 203, then what is the smaller number?
  • A. 10
  • B. 9
  • C. 12
  • D. 11
Correct Answer: Option D - Let the numbers are x and y - As per question, x – y = 7 ------------ (i) x2 – y2 = 203 (x + y)(x – y) = 203 x + y = 29 .................(ii) By solving the equation (i) and (ii), we get- x = 18, y = 11
D. Let the numbers are x and y - As per question, x – y = 7 ------------ (i) x2 – y2 = 203 (x + y)(x – y) = 203 x + y = 29 .................(ii) By solving the equation (i) and (ii), we get- x = 18, y = 11

Explanations:

Let the numbers are x and y - As per question, x – y = 7 ------------ (i) x2 – y2 = 203 (x + y)(x – y) = 203 x + y = 29 .................(ii) By solving the equation (i) and (ii), we get- x = 18, y = 11