Question

The sum of 2 numbers is 18. Two times the greater number equals the sum of 4 times the lesser number and 6.

Which system of equations could be used to find the 2 numbers?
a. x+y=18
2x + 6 = y
b. x + y = 18
2x = 4y + 6
c. x + y = 18
2y = 6x +4

Answer 1

The sum of two numbers is 18.

`x+y=18`

Let greater number be x and lesser number be y.

It is given that two times the greater number equals the sum of 4 times the lesser number and 6

`2x=4y+6`

Hence the correct option is b.