There are two mystery numbers. The sum of 9 times the first number and 8 times the second number is 44. The sum of 2 times the first number and 9 times the second number is 17. What are the two numbers?

Solution

T h ere a re tw o m ys t ery n u mb ers . T h e s u m o f 9 t im es t h e f i rs t n u mb er an d 8 t im es t h e seco n d n u mb er i s 44. T h e s u m o f 2 t im es t h e f i rs t n u mb er an d 9 t im es t h e seco n d n u mb er i s 17. Wha t a re t h e tw o n u mb ers ?

The numbers : 4, 1

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

9 x + 8 y = 44

2 x + 9 y = 17

9 x + 8 y = 44, 2 x + 9 y = 17 : x = 4, y = 1

The numbers : 4, 1