The sum of 6 times the first number and 4 times the second number is 182. The differenz between 7 times the first number and-10 is 5 times the second number. Find both the numbers.The sum of 6 times the first number and 4 times the second number is 182. The differenz between 7 times the first number and-10 is 5 times the second number. Find both the numbers.

Lösung

T h e s u m o f 6 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 182. T h e d i ff ere n ce b e tw ee n 7 t im es t h e f i rs t n u mb er an d - 10 i s 5 t im es t h e seco n d n u mb er . F in d b o t h t h e n u mb ers . T h e s u m o f 6 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 182. T h e d i ff ere n ce b e tw ee n 7 t im es t h e f i rs t n u mb er an d - 10 i s 5 t im es t h e seco n d n u mb er . F in d b o t h t h e n u mb ers .

The numbers : 15, 23

Schritte zur Lösung

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

6 x + 4 y = 182

7 x - (- 10) = 5 y

6 x + 4 y = 182

7 x - (- 10) = 5 y

6 x + 4 y = 182, 7 x - (- 10) = 5 y, 6 x + 4 y = 182, 7 x - (- 10) = 5 y : x = 15, y = 23

The numbers : 15, 23