The sum of three numbers is 16. The sum of twice the first number, 3 times the second number, and 4 times the third number is 50. The difference between 3 times the first number and the second number is 1. Find the three numbers.

פתרון

T h e s u m o f t h ree n u mb ers i s 16. T h e s u m o f tw i ce t h e f i rs t ​ n u mb er, 3 t im es t h e seco n d ​ n u mb er, an d 4 t im es t h e t hi r d n u mb er i s 50. T h e d i ff ere n ce b e tw ee n 3 t im es t h e f i rs t n u mb er an d t h e seco n d n u mb er i s 1. F in d t h e t h ree n u mb ers .

The numbers : 3, 8, 5

צעדי פתרון

Represent the numbers with

x, y, z

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 16

2 x + 3 y + 4 z = 50

3 x - y = 1

x + y + z = 16, 2 x + 3 y + 4 z = 50, 3 x - y = 1 : x = 3, y = 8, z = 5

The numbers : 3, 8, 5