If the sum of two consecutive odd numbers is 312, find the numbers.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

155 and 157

155 and 156

156 and 157

154 and 153

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Concept- Odd numbers are ones that cannot be entirely divided by two. We will answer this problem by creating an equation using a variable x.
Given that the sum of two consecutive odd integers is 312 in the question, we may construct the equation as follows:

Solve above equation we get:

…….(1)
By adding the coefficient

into the LHS side of equation (1) , we get:

By bringing 2 into the RHS side of the equation

, and subtracting it from 312 :

By bringing 2 into the RHS side of the equation

and dividing it by 310 , we get:

So, the second consecutive odd number will be equals to

, by substituting the value of

in it, we get:

The two consecutive odd numbers are 155 and 157 .
Hence, the correct option is 1.

Watch 3-min video & get full concept clarity