Question

The sum of three numbers is 52. The third number is 2 times the first. The second number is 8 less than the first. What are the numbers?

Answer 1

3rd = 30

2nd = 7

1st = 15

Explanation:

(T) total = 52

3rd = 2 x

2nd = x - 8

1st = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 15

so

3rd = 2 (15) = 30

2nd = 15 - 8 = 7

1st = 15

Answer 2

3rd number = 30

2nd number = 7

1st number = 15

Explanation:

(T) total of three numbers = 52

let 3rd number = 2 x

let 2nd number = x - 8

let 1st number = x

T = 1st + 2nd + 3rd

52 = 2x + (x - 8) + x

52 + 8 = 4x

60 = 4x

x = 60 / 4

x = 15

therefore,

let 3rd number = 2 (15) = 30

let 2nd number = 15 - 8 = 7

let 1st number = 15