Question

The sum of 5 successive odd numbers is 1075. what is the largest of these numbers

Answer 1

Concept:

Trigonometry is a discipline of mathematics that investigates the relationship between triangle side lengths and angles.

Given:

The sum of 5 successive odd numbers is 1075

To find:

The greatest odd number

Solution:

In this question, we have to find the largest odd number out of the five odd numbers.

Let's assume x is an odd number. ,

We know that there are five successive odd numbers,

so, the numbers will be

$x + (x+2) + (x+4) + (x+6) + (x+8)$

Now, we know the sum of these successive odd five numbers is 1075, this can be written as

$x + (x+2) + (x+4) + (x+6) + (x+8) = 1075$

So now we will solve the equation to determine the largest odd number

$x + (x+2) + (x+4) + (x+6) + (x+8) = 1075\\5x+20=1075\\5x=1075-20\\5x=1055\\x=211$

Now, we got the dd number as 211

Also, we know that the greatest number in terms of x is 211

So, on putting the value of x=211 in (x+8) we will get,

$x+8\\211+8\\219$

∴The greatest odd number is 219.

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