Find Two Consecutive Positive Integers, Sum of whose Squares is 365.

Two Consecutive Positive Integers, Sum of whose Squares is 365

13 and 14 are the the two consecutive positive integers, sum of whose squares is 365. The collection of positive numbers and negative numbers are called integers. In integers, the positive numbers are known as positive integers whereas the negative numbers are called negative integers. 

Example of integers: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, and so on.

Key Points about Integers

• On the number line, the entire positive integer range is to the right of zero, while the entire negative range is to the left.
• Since all non-negative integers are whole numbers, all operations on them are carried out in the same way as they would be for whole numbers.
• When combining two negative numbers, the negative sign is kept with the sum while the corresponding positive numbers are added.
• Negative and positive integers can be added by subtracting the smaller of the two by their respective numerical values, then taking the sign of the larger of the two.
• In order to subtract an integer from a given integer, we first multiply the inputted integer by its additive inverse.

Summary:

Find Two Consecutive Positive Integers, Sum of whose Squares is 365.

The two consecutive positive integers, sum of whose squares is 365 are 13 and 14. These consecutive positive integers can be obtained by assuming first positive integer as 'a' and the other positive integer as 'a+1'. After that form the equation based on question statement and solve it.

Related Questions:

• Find the HCF of 360 and 18144 by Prime Factorization
• Find HCF and LCM of 404 and 96 and verify that HCF × LCM = Product of the two given numbers
• If HCF (336, 54) = 6, find LCM (336, 54)
• HCF of (2³ × 3² × 5), (2² × 3³ × 5² ) and (2⁴×3×5³×7)
• Find the HCF and LCM of 8/9, 10/27 and 16/81
• The Sum of Three Consecutive Multiples of 8 is 888. Find the Multiples.
• Find Two Numbers whose Sum is 27 and Product is 182.