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The sum of three numbers is 14. The sum of twice the first number, 3 times the second number, and 4 times the third number is 36. The difference between 3 times the first number and the second number is 20. Find the three numbers.

Solution

Solution

The numbers : 8, 4, 2

Solution steps

Represent the numbers with

x, y, z

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 14

2 x + 3 y + 4 z = 36

3 x - y = 20

x + y + z = 14, 2 x + 3 y + 4 z = 36, 3 x - y = 20 : x = 8, y = 4, z = 2

The numbers : 8, 4, 2

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The sum of three numbers is 14. The sum of twice the first​ number, 3 times the second​ number, and 4 times the third number is 36. The difference between 3 times the first number and the second number is 20. Find the three numbers.

Solution

Solution

Popular Examples

The sum of three numbers is 14. The sum of twice the first number, 3 times the second number, and 4 times the third number is 36. The difference between 3 times the first number and the second number is 20. Find the three numbers.