Welcome to the article The sum of two consecutive natural numbers is 313 What are the numbers. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
answer : 12,13
explanation:
Let the numbers be x and x+1.
x2 + (x+1)2 = 313
2x2 + 2x + 1 = 313
2x2 + 2x - 312 = 0
x2 + x - 156 = 0
x2 + 13x - 12x - 156 = 0
x(x + 13) - 12(x + 13) = 0
(x - 12) (x + 13) = 0
x = 12 or -13. Since x cannot be negative, x = 12. Hence, numbers are 12 and 13.
explanation:
Let the numbers be x and x+1.
x2 + (x+1)2 = 313
2x2 + 2x + 1 = 313
2x2 + 2x - 312 = 0
x2 + x - 156 = 0
x2 + 13x - 12x - 156 = 0
x(x + 13) - 12(x + 13) = 0
(x - 12) (x + 13) = 0
x = 12 or -13. Since x cannot be negative, x = 12. Hence, numbers are 12 and 13.
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Rewritten by : Brahmana