Question
The square of the sum of two numbers is 900 and the sum
of squares of the same numbers is 500. Find the product of the two numbers.Solution
Let the two numbers be 'a' and 'b' ATQ: (a + b)² = 900 So, a² + b² + 2ab = 900 Also, we have, a² + b² = 500 So, 2ab = 900 - 500 = 400 So, ab = (400 ÷ 2) = 200
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