Question

The sum of the three consecutive odd numbers is 285. What is the ratio of the smallest and largest numbers respectively ?



a. 97 : 95



b. 93 : 95



c. 95 : 93



d. 93 : 97

Answer 1

The correct answer is option (d) 93 : 97

Given:

The sum of the three consecutive odd numbers is 285

To find:

The ratio of the smallest and largest numbers  

Solution:

Let x be the odd number then the remaining consecutive odd numbers are x+2, x+4

[ since the difference between 2 consecutive odd number is 2 ]

the three consecutive odd numbers are x, x+2 and x+4  

Given the sum of the three consecutive odd numbers is 285

⇒ x + x+2 + x + 4 = 285

⇒ 3x +6 = 285

⇒ 3x = 279

⇒ x = 93

Therefore, the smallest number x = 93

Then the largest number, x+4 = 93 + 4 = 97

Therefore, the ratio of the smallest and largest numbers = 93 : 97

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Answer 2

Answer:

Step-by-step explanation:

we have to find The ratio of the smallest and largest numbers  

it is given that the sum of consecutive odd numbers is $285$

Let us take and suppose x to be the odd number

then let us take  the remaining consecutive  numbers that are consecutive =

$x+2 \\x+4$

as we can see that the difference between two consecutive odd number is two

there are the three consecutive odd numbers and they are  $x, x+2$ and $x+4$

it is given that the sum of the theses three consecutive odd numbers is $285$

hence the equation becomes

⇒ $x + x+2 + x + 4 = 285\\ 3x +6 = 285\\ \\3x = 279\\\\ x = 93$

Therefore, the smallest number $x = 93$

Then the largest number, $x+4 = 93 + 4 = 97$

Therefore, the ratio of the smallest and largest numbers = $93 : 97$

hence this is the answer

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