What three consecutive even integers have a sum of 78?

Question

asked Mar 27, 2021 54.2k views

2 Answers

Jonathan Dixon · Answer 1 · 2021-03-30T23:09:02+0000

Answer:

$\sf \: 24, \: 26 \: and \: 28$

Explanation:

Forming the equation,

→ x + (x + 2) + (x + 4) = 78

Now the value of x will be,

→ x + (x + 2) + (x + 4) = 78

→ (x + x + x) + (2 + 4) = 78

→ 3x + 6 = 78

→ 3x = 78 - 6

→ x = 72/3

→ [ x = 24 ]

Then the even integers are,

→ x = 24

→ x + 2 = 24 + 2 = 26

→ x + 4 = 24 + 4 = 28

Hence, these are the integers.