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Popular Word Problems >

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

Solution

T h e s u m o f tw o n u mb ers i s 15 an d t h e s u m o f t h e i r s q u a res i s 377. F in d t h e l a r g er n u mb er .

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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