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Explanation
- The sum of two numbers is 25.
- The difference is 13.
- The product will be determined in this way.
Let suppose the numbers are y and z.
The sum of y and z is 25
y + z = 25 ________ (i)
The difference of y and z is 13
y – z = 13 ________ (ii)
By solving equation (i) and (ii) simultaneously, we can easily find out the value of y (y = 19) and z (z = 6) in order to figure out the product of these numbers (yz = 19 x 6 = 114).
To Find
Product of the numbers = ?
Solution
Let suppose
Numbers are y and z.
According to the given conditions
y + z = 25 ________ (i)
y – z = 13 ________ (ii)
Adding equation (i) and (ii)
y + z + y – z = 25 + 13
2y = 38
y = 38/2
y = 19 (put in equation (i)
19 + z = 25
z = 25 – 19
z = 6
The product of y and z
yz =19 x 6 = 114
Required Product = 114 answer
Conclusion
The sum of two numbers is 25 and their difference is 13. The product of these two numbers will be 114.
