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Let's denote the two consecutive numbers as x and x+1. The square of the first number is x^2, and the square of the second number is (x+1)^2. According to the given condition, their squares differ by 25, so we have the equation (x+1)^2 - x^2 = 25. Simplifying this equation, we get x^2 + 2x + 1 - x^2 = 25, which simplifies to 2x + 1 = 25. Solving for x, we find x = 12. Therefore, the two consecutive numbers are 12 and 13.
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What are two consecutive positive even numbers the sum of whose squares is 340?
The numbers are 12 and 14.
What is the consecutive numbers in mathematical algebra?
Consecutive numbers are whole numbers whose difference is 1.
The two rational numbers which differ by 3 and the sum of whose squares is 117 Find The Numbers?
9 and 6 9-6 = 3 92+62 = 117
Which are the Consecutive Numbers Whose Sum Is 22?
Any pair of consecutive numbers will have an odd total. 10 and 12 are consecutive even numbers that total 22.
The product of 3 consecutive odd numbers make 6873 what is it?
There is no set of 3 consecutive odd numbers whose product is 6,873. However, there is a set of 3 consecutive odd numbers whose sum is 6,873: 2289, 2291, and 2293.
