Question

The sum of three consecutive even numbers is 90.Find the number​

Answer 1

let -

1 st no be x

2nd be x+2

3rd be x+4

according to the question

x+x+2+x+4=90

3x+6=90

3x=84

x=84/3

x=28

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Answer 2

Given:

• Sum of three consecutive even numbers is 90.

To Find:

• Find the number.

Solution:

Let's assume

• Let the first number be x.
• Let the other two numbers be (x -2),(x +2)

Here,sum of three consecutive even numbers is 90 and we have to find numbers.

According to the question,

$\: \: \sf \implies \: (x - 2) + x + (x + 2) = 90 \\ \\ \: \: \sf \implies3x = 90$

After transporting we find

$\: \: \sf \implies \: \therefore x = 30$

Hence,the value of x is 30.

Therefore,the numbers are:

• First Number = x = 30
• Second Number = (x -2) = (30 - 2) = 28
• Third Number = (x+2) = ( 30 + 2) = 32

Prove:

$\: \: \sf \red \leadsto \: x + (x - 2) + (x + 2) = 90 \\ \\ \: \: \sf \red \leadsto \: 30 + (30 - 2) + (30 + 2) = 90 \\ \\ \: \: \sf \red \leadsto \: 30 + 28 +32 = 90 \\ \\ \: \: \sf \red \leadsto \: 90 = 90$

LHS = RHS

Hence, Proved