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The sum of two numbers is 25 and their difference is 13. Find their product?

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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.

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