Discussion
The sum of two numbers is 45 and their difference is 9. The greater number is:
Answer: A
For any two numbers, the greater is \(\dfrac{\text{sum} + \text{difference}}{2}\), here \(\dfrac{45 + 9}{2} = 27\), and the smaller is \(\dfrac{45 - 9}{2} = 18\). Check: \(27 + 18 = 45\) and \(27 - 18 = 9\). This shortcut is worth memorising for any sum-and-difference pair.
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