Question
The difference between two numbers is 6, and the
difference between the squares of these numbers is 180. What is the total of these two numbers?Solution
Let the two numbers be ‘a’ and ‘b’ where a > b.
We have, (a – b) = 6
And (a2 – b2) = 180
Also (a2 – b2) = (a + b) × (a – b)
So, (a + b) = 180 ÷ 6 = 30
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