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

Solución

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

Solución

The numbers : 15, 23

Pasos de solución

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

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