keigomiguelcoronel21 keigomiguelcoronel21
  • 10-05-2024
  • Mathematics
contestada

The sum of two numbers is 30 and the sum of their squares is 458. What is the larger number?

Respuesta :

angelodavemalvar29 angelodavemalvar29
  • 10-05-2024

Answer:

14

Step-by-step explanation:

If we denote the two numbers as x and y, the conditions stated in the question can be written as the following two equations:

x + y = 30,

x^2 + y^2 = 458.

Solving these two equations would yield the two pair of solutions (14, 16) and (16, 14). This means the two numbers can either be 14 and 16. Since the question is asking for the smaller number, the answer is 14.

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