The sum of two numbers is twice their 차이. The sum of the squares of the two numbers is 6250.What are the to numbers.

해법

T h e s u m o f tw o n u mb ers i s tw i ce t h e i r d i ff ere n ce . T h e s u m o f t h e s q u a res o f t h e tw o n u mb ers i s 6250. Wha t a re t h e t o n u mb ers .

The numbers : 75, 25 or - 75, - 25

솔루션 단계

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x + y = 2 (x - y)

x^{2} + y^{2} = 6250

방정식을 풀다:

x + y = 2 (x - y), x^{2} + y^{2} = 6250 : (x = 75, x = - 75, y = 25 y = - 25)

The numbers : 75, 25 or - 75, - 25