Question

The greater of the two numbers whose product is 900 and sum exceeds their difference by 30 is

A 60 Correct Answer Incorrect Answer
B 75 Correct Answer Incorrect Answer
C 90 Correct Answer Incorrect Answer
D 100 Correct Answer Incorrect Answer

Solution

Let's consider two numbers as x & y. Given that, Product of two numbers x & y is xy=900 ---- (1) and sum of the two numbers exceeds the difference by 30 i.e.., (x + y) − (x − y) = 30 => 2y=30 => y=15 Substituting y=15 in equation 1, we get x=60

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