There are two mystery numbers. The sum of 10 times the first number and 2 times the second number is 54. The sum of 4 times the first number and 4 times the second number is 28. 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 10 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 54. T h e s u m o f 4 t im es t h e f i rs t n u mb er an d 4 t im es t h e seco n d n u mb er i s 28. Wha t a re t h e tw o n u mb ers ?

The numbers : 5, 2

étapes des solutions

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

10 x + 2 y = 54

4 x + 4 y = 28

10 x + 2 y = 54, 4 x + 4 y = 28 : x = 5, y = 2

The numbers : 5, 2