Question

Two consecutive positive number are such that the sum of their square is 113. Find the two numbers.

Please tell anyone with explanations

Answer 1

Answer:

56 and 57

Step-by-step explanation:

let the first number be x

and the second number be x+1

according to the question,

the sum of the numbers is 113

$\boxed{x + (x + 1) = 113}$

$\boxed{2x + 1 = 113}$

$\boxed{2x = 113 - 1}$

$\boxed{2x = 112}$

$\boxed{x = \frac{112}{2} }$

$\boxed{x = 56}$

Hence the first number is 56 and second number is 56 + 1 = 57

Verification,

according to the question,

the sum of the numbers is 113

56 + 57 = 113