The difference of two numbers is 25 and the product is 125
Answers
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Each statement in the problem definition is an equation:
Equation 1: x + y = 125
Equation 2: x - y = 25
You can solve by elimination or substitution. I like elimination. Just put the equations on top of each other and add them (this one is clean because y gets cleared without having to multiple by a negative etc.)
FYI, substitution is when you reduce one of the equations down (in this case, taking the first equation and getting “x=125-y” and then plugging that in the second equation [(125-y)] - y = 25.. -2y = -150, y = 75) … but I’ll do an explanation of elimination because, as I said, I like it!
x + y = 125
x - y = 25
——————+
2x = 150
x = 75 *** First answer: you need to plug this value into either equation to get y.
75 + y = 125.
-75……. = -75
y = 50
Thus X = 75, Y = 50
hope it's help u ‼️✌️✌️
X * Y = 125
X - Y = 25
(X - Y) whole sq = X sq + Y sq - 2XY
= X sq + Y sq - 2(125)
625 = X sq + Y sq - 250
X sq + Y sq = 625 - 250
X sq + Y sq = 375
X sq + Y sq = 375