**Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.2 Q4 Download this solution**

**Find two consecutive positive integers, sum of whose squares is 365.**

**Solution: **

Let first number be

Let second number be

According to given condition, we have

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Dividing equation by 2, we get

Therefore first number = 13 {We discard -14 because it is given that number is positive).

Second number =

Therefore two consecutive positive integers are 13 and 14 whose sum of squares is equal to 365.