**(Q) Find the two consecutive positive integers, sum of whose squares is 365. **

**Ans: **Let’s the 1st number be

Next number has to be consecutive and hence next number will be

It is given that sum of the squares of these two number is 365

Here, we reject x = – 14 because it is given that the numbers need to be positive.

Therefore,

**Hence, the two numbers are 13 and 14.**

**Check:**

*If numbers are 13 and 14 then let’s check the given condition:*

*Since it meets the given condition, ***hence our answer is correct. **

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