HomeMaths ProblemsThe Sum of Two Numbers is 184. If One-Third of the One...

# AKIF HAMEED

AUTHOR

If one advances confidently in the direction of his dreams, and endeavors to live the life which he has imagined, he will meet with a success unexpected in common hours.

## Table of Contents – The Sum of Two Numbers is 184 | Solution | Problem Solved

• The sum of two numbers is 184.
• If one-third of the one
• Exceeds one-seventh of the other by 8
• The smaller number can be figure out easily as:

## Important Points to Solve the Problem

Let suppose two numbers are “y and z”. Their sum is 184.

y + z = 184 ________ (i)

One-third of the one (y/3) exceeds one-seventh of the other (z/7) by 8.

y/3 – 8 = z/7 ________ (ii)

Through equation (i) and (ii), we can find out the smaller number.

## To Find

Smaller number = ?

## Solution

Let suppose

Numbers = y and z

Now; according to given condition

y + z = 184 ________ (1)

y/3 – 8 = z/7

y/3 – z/7 = 8

7y – 3z = 168 ________ (2)

Multiplying equation (1) with 3

3y + 3z = 552 ________ (3)

Now adding equation (2) and (3);

7y + 3y – 3z + 3z = 168 + 552

10y = 720

y = 72 putting in equation (1)

72 + z = 184

z = 184 – 72

z = 112

So,