The sum of two numbers is 953 and the difference of the two numbers is 169. What are the two numbers? Show a system of equations to justify your answer. Full credit will NOT be given for just an answer and no calculations provided.

Solution

T h e s u m o f tw o n u mb ers i s 953 an d t h e d i ff ere n ce o f t h e tw o n u mb ers i s 169. Wha t a re t h e tw o n u mb ers ? S h o w a sys t e m o f e q u a t i o n s t o j u s t i f y yo u r an s w er . F u ll cre d i t w i ll NOT b e g i v e n f or j u s t an an s w er an d n o c a l c u l a t i o n s p ro v i d e d .

The numbers : 561, 392

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x + y = 953

x - y = 169

x + y = 953, x - y = 169 : x = 561, y = 392

The numbers : 561, 392