There are two mystery numbers. The sum of 10 times the first number and 6 times the second number is 16. The sum of 3 times the first number and 2 times the second number is 5. What are the two numbers?

解

T h ere a re tw o m ys t ery n u mb ers . T h e s u m o f 10 t im es t h e f i rs t n u mb er an d 6 t im es t h e seco n d n u mb er i s 16. T h e s u m o f 3 t im es t h e f i rs t n u mb er an d 2 t im es t h e seco n d n u mb er i s 5. Wha t a re t h e tw o n u mb ers ?

The numbers : 1, 1

解答ステップ

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

10 x + 6 y = 16

3 x + 2 y = 5

10 x + 6 y = 16, 3 x + 2 y = 5 : x = 1, y = 1

The numbers : 1, 1