Question

Find three consecutive even numbers whose sum is 234. [3 MARKS]

Answer 1

Concept: 1 Mark
Application: 2 Marks

Let three consecutive numbers are 2n, 2n + 2 and 2n + 4

Sum of these three numbers = 2n + 2n + 2 + 2n + 4 = 234

6n + 6 = 234

n + 1 = 39

n = 38

Three consecutive even numbers are

$2\times 38=76$

$(2\times 38)+2=78$

$(2\times 38)+4=80$