Question

there are 3 consecutive even numbers such that twice the first is 20 more than the second. find the numbers. identify an equation and variable.

Answer 1

The first number = y = 22

The second number = 24

The third number = 26

Step-by-step explanation:

let the three even consecutive numbers be: y, y+2 and y + 4

the first = y

twice the first = 2y

the second = y+2

20 more than the second = 20 + (y+2)

= 20 + 2 + y

20 more than the second = 22 + y

twice the first is 20 more than the second:

2y = 22 + y

collect like terms:

2y - y = 22

y = 22

The first number = y = 22

The second number = y+2 = 22+2

The second number = 24

The third number = y + 4 = 22 + 4

The third number = 26