The sum of three numbers is 16. The sum of twice the first number, 5 times the second number, and 6 times the third number is 67. The difference between 8 times the first number and the second number is 55. Find the three numbers.

Solution

Solution

The numbers : 7, 1, 8

Solution steps

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 + 5 y + 6 z = 67

8 x - y = 55

x + y + z = 16, 2 x + 5 y + 6 z = 67, 8 x - y = 55 : x = 7, y = 1, z = 8

The numbers : 7, 1, 8

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The sum of three numbers is 16. The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 67. The difference between 8 times the first number and the second number is 55. Find the three numbers.

Solution

Solution

Popular Examples

The sum of three numbers is 16. The sum of twice the first number, 5 times the second number, and 6 times the third number is 67. The difference between 8 times the first number and the second number is 55. Find the three numbers.