Answered

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the sum of two numbers is 25 and their products is 156. What are the two numbers?

Sagot :

13 and 12
because if you will going to add them the sum or answer is 25
if you will going to multiply them the product or answer is 156...
x + y = 25
y = 25-x

Let first number x
      second number y  or  25-x

Equation:
(x) (25-x) = 156
25x - x² = 156

Equate to 0:
0= x² -24x + 156

Solve by factoring:
((x-13) (x-12) = 0

x-13 = 0             x-12 = 0
x = 13                x = 12

The two numbers are 13 and 12.

To check:  
    13 + 12 = 25
     (13) (12) =156