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Popular >

The sum of two numbers is 15 and the sum of their squares is 377. Find the larger number.

Solution

The sum of two numbers is 15 and the sum of their squares is 377. Find the larger number.

Solution

The largest number : 19

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 15

x^{2} + y^{2} = 377

Solve the system of equations:

x + y = 15, x^{2} + y^{2} = 377 : (x = - 4, x = 19, y = 19 y = - 4)

Discard duplicated solutions

Select the largest solution:

19

The largest number : 19

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