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Popular Word Problems >

The sum of two numbers is 20 , and the difference between their squares is 40:Find the two numbers.

Solution

T h e s u m o f tw o n u mb ers i s 20, an d t h e d i ff ere n ce b e tw ee n t h e i r s q u a res i s 40 : F in d t h e tw o n u mb ers .

Solution

The numbers : 11, 9

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 20

x^{2} - y^{2} = 40

Solve the system of equations:

x + y = 20, x^{2} - y^{2} = 40 : (x = 11, y = 9)

The numbers : 11, 9

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