Find the two numbers whose product is 150, difference is 5 and sum is 25.
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To make it more concrete we would need to make equations which will make it very easy to find these numbers.
Let,
x∗y=150
x−y=5
x+y=25
Now, with little bit of algebra,
x=y+5
Substituting x to the equation x+y=25 yields
y+5+y=25
2y=20,y=10
x+10=25,x=15
Therefore 15 and 10 are the numbers that is product 150, difference 5 and sum 25.
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