Question
The difference between the squares of two numbers is
184, and their sum is 46. What is the larger number?Solution
Let the numbers be 'a' and 'b' such that (a > b)
a + b = 46 --------- (I)
And, a2 - b2 = 184
Or, (a + b) (a - b) = 184
Or, 46 X (a - b) = 184
Or, a - b = 4 -------- (II)
On adding equation I and II,
We get, a + b + a - b = 46 + 4
Or, 2a = 50
Or, 'a' = 25
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