The sum of three consecutive even number is 48. Find the numbers.

Asked by Topperlearning User | 20th Sep, 2016, 10:11: AM

Expert Answer:

begin mathsize 12px style Let space the space first space even space number equals straight x
then space second space even space number equals straight x plus 2
and space third space even space number equals straight x plus space 2 space plus space 2 equals straight x space plus space 4
According space to space the space condition comma
rightwards double arrow straight x plus straight x plus 2 plus straight x plus 4 equals 48
rightwards double arrow 3 straight x plus 6 equals 48
rightwards double arrow 3 straight x equals 42
rightwards double arrow straight x equals 14
Hence comma space the space first space number space is space 14.
The space second space number equals 14 space plus space 2 space equals space 16
and space the space third space number equals 14 space plus space 2 space plus space 2 equals 18
Hence comma space the space numbers space are space 14 comma space 16 space and space 18. end style

Answered by  | 20th Sep, 2016, 12:11: PM