Popular >

The sum of three numbers is 18. The sum of twice the first number, 4 times the second number, and 5 times the third number is 60. The difference between 7 times the first number and the second number is 50. Find the three numbers.

Solution

Solution

The numbers : 8, 6, 4

Solution steps

Represent the numbers with

x, y, z

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 18

2 x + 4 y + 5 z = 60

7 x - y = 50

x + y + z = 18, 2 x + 4 y + 5 z = 60, 7 x - y = 50 : x = 8, y = 6, z = 4

The numbers : 8, 6, 4

Popular Examples

One number is five less than another. If their sum is 135, what are the numbers?Determine the simple interest owed on 980for 3 years at a rate of 15.5%.two times the sum of a number and 3 is equal to 6 The diameter of a circle is 12 inches. What is the circumference?I am ten years old. My brother is half my age. How old will my brother be when I am twenty years old

The sum of three numbers is 18. The sum of twice the first​ number, 4 times the second​ number, and 5 times the third number is 60. The difference between 7 times the first number and the second number is 50. Find the three numbers.

Solution

Solution

Popular Examples

The sum of three numbers is 18. The sum of twice the first number, 4 times the second number, and 5 times the third number is 60. The difference between 7 times the first number and the second number is 50. Find the three numbers.