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Explanation
- If the sum of two numbers is 33.
- The difference is 15.
- The smaller number will be figure out in this way.
Let suppose the numbers are y and z.
The sum of two numbers is 33
y + z = 33 ________ (i)
The difference of two numbers is 15
y – z = 15 ________ (ii)
By solving equation (i) and (ii) simultaneously, we can easily find out the value of y (y = 24) and z (z = 9) in order to figure out the smaller number (z = 9).
To Find
Smaller Number = ?
Solution
Let suppose
Numbers are y and z.
According to the given conditions
y + z = 33 ________ (i)
y – z = 15 ________ (ii)
Adding equation (i) & (ii)
y + y + z – z = 33 + 15
2y = 48
y = 48/2
y = 24
Putting y = 24 in equation (i)
24 + z = 33
z = 33 – 24
z = 9
Smaller Number = 9 answer
Conclusion
If the sum of two numbers is 33 and their difference is 15, the smaller number will be 9.