The two numbers whose sum is 25 and product is 136 are 17 and 8
What is simultaneous equation?
Simultaneous equations are equations whose unknown values are determined together because the equations are dependent.
In this case, we assume the two number are X and Y, which means X plus Y is 25
X+Y=25 .........(equation 1)
In the same vein, the product of X and Y is 136
XY=136 ......(equation 2)
In equation 1, we can make X the subject
X=25-Y
Let us substitute for the value of X in equation 2
(25-Y)*Y=136
25Y-Y^2=136
Y^2-25Y+136=0
25 can be split into 17 and 8 and when multiplied would give 136
Y^2-17Y-8Y+136
Y(Y-17)-8(Y-17)
(Y-17) or (Y-8)
Y-17=0
Y=17
Y-8=0
Y=8
It either Y is 17 and X is 8 or the other way round, in essence, the two numbers are 17 and 8
Find out more about simultaneous equation on:https://brainly.com/question/16863577
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