Question

1. What are the two consecutive even
numbers having a sum of 146?​

Answer 1

Step-by-step explanation:

Let the two consecutive even numbers be x and x+2

According to problem

x+(x+2)=146

2x+2=146

2x=144

x=72

x=72

x+2=72+2=74

Hope it helped.

Answer 2

Question is :-

The sum of two consecutive even numbers is 146.The number are

a)144,2

b)72,74

c)74,76

d)73,74

Answer :-

The required numbers are 72 and 74.

Given :-

• Sum of the two consecutive number = 146 .

Have to find :-

• What's the numbers are ?

Solution :-

We consider the numbers as :-

First number = x

Second Number = x + 2

Now ,

Original number = x + ( x + 2 ) = 146 .

⇒ x + x + 2 = 146

⇒ 2x + 2 = 146

⇒ 2x = 146 - 2

Now ,

2 x = 144

x = 144/2

$x \: = \: 72$

Correct Option = b)72,74

Now ,

In order to check , whether it is correct !

Let's Verify !

Verification :-

Substituting the value of x in the given equation .

↬ x + (2+x) = 146

↬ 72+(2+72) = 146

↬ 72+74 = 146

↬ 146 = 146

LHS = RHS

★ Hence ,

Verified !