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,
Smaller number = 72 answer
Conclusion
The sum of two numbers is 184. If one-third of the one exceeds one-seventh of the other by 8, the smaller number would be 72.
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