Question

the sum of two consecutive even numbers is 144 the numbers are​

Answer 1

Answer:

i hope this helps u......

Answer 2

Correction in Question

The sum of two consecutive Odd numbers is 144 the numbers are​ ?

Answer:

The Odd numbers are 71 and 73 .

SOLUTION

Let us assume that the smaller Odd number is 'x' , so the bigger Odd number will be of the form , x + 2 .

Given that :- The sum of two consecutive Odd numbers is 144 .

$\implies$

x + (x + 2) = 144

$\implies$

x + x + 2  =  144

$\implies$

2x + 2  = 144

$\implies$

2x  = 144 - 2

$\implies$

2x = 142

$\implies$

$\sf x = \dfrac{142}{2} = 71$

$\red\bigstar$The smaller Odd number 'x' is 71 .

$\blue\bigstar$The larger Odd number is of the form x + 2 = 71 + 2 = 73.

Let Us Verify

x + (x+2) = 144

x + x + 2 = 144

2x = 144 - 2

2x = 142

Substituting ,  x = 71

2 × 71 = 142

142 = 142 .

Here, LHS = RHS

Hence the answer is correct.