Question

difference between two consetive even number is 144 find the the number​

Answer 1

Answer:

Generally, Odd numbers are of the form 2n+1, and the difference between two consecutive odd integers is 2,

So, Let us assume, x is an Positive odd integer, Now,

Consecutive Positive odd integer for x is x+2,

Now, According to the Question,

Sum of those numbers is 144,

=> We can write that, x + (x+2) = 144,

=> 2x + 2 = 144, Subtract 2 on both sides,

=> 2x = 142 , Divide 2 on both sides,

=> x = 71,

Here, We got 1 of the Odd number, Now, It's consecutive Positive odd integer is 71 + 2 = 73,

Therefore the two Positive Odd integers, Whose sum is 144 is, 71 and 73,