Question

The sum of 3 consecutive numbers 114 then the largest number is
​

Answer 1

Let the 3 consecutive numbers be:

• x
• (x + 1)
• (x + 2)

According to the question,

Their sum is 114

So,

x + (x + 1) + (x + 2) = 114

⇒ x + x + 1 + x + 2 = 114

⇒ x + x + x + 1 + 2 = 114

⇒ 3x + 3 = 114

⇒ 3x = 114 - 3

⇒ 3x = 111

⇒ x = 111 ÷ 3

∴ x = 37

Now, we know that 3 numbers are x, (x + 1) and (x + 2)

So the numbers are

• x = 37
• x + 1 = 38
• x + 2 = 39

The numbers are 37, 38, 39

Largest number = 39