Question

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 1

☆Given:

Sum of two consecutive even numbers = 146

☆To find:

The two even numbers

☆Solution:

Let the first even number be x and second number be 2+x.

☆Equation:

x + (2+x) = 146

x+2+x = 146

2x+2 = 146

2x = 146-2

2x = 144

$x = \frac{144}{2}$

x = 72

x+2 = 72+2

= 74

☆Verification:

By putting the value of x as 72 in the equation,

x + (2+x) = 146

72+(2+72) = 146

72+74 = 146

146 = 146

Hence Verified!

☆Final answer:

The two consecutive even numbers whose sum is 146 are 72 and 74. Therefore option b) is correct.

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 ?

$\Large{\underline{\underline{\bf{Solution:-}}}}$

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

$\large{\boxed{\bold{x\:=\:72}}}$

Correct Option = b)72,74

Now ,

In order to check , whether it is correct !

Let's Verify !

$\large{\boxed{\bold{Verification :- \: }}}$

Substituting the value of x in the given equation .

$:\implies\tt{x + (2+x) = 146 }$

$:\implies\tt{72+(2+72) = 146 }$

$:\implies\tt{72+74 = 146 }$

$:\implies\pink{\tt{146 = 146 }}$

LHS = RHS

★$\underline{\pink{\bf{Hence ,\: </p><p>Verified :-}}}$