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Mama L [17]
2 years ago
5

Two numbers that differ by 46

Mathematics
2 answers:
Reil [10]2 years ago
7 0

the complete question is

Find two numbers whose difference is 46 and whose product is a minimum


Let

x------->larger number

y-------> smaller number

P-------> product of the two numbers


we know that

x-y=46\\ y=x-46-----> equation 1

P=x*y-----> equation 2


substitute equation 1 in equation 2

P=x*[x-46]\\ P=x^{2} -46x


using a graph tool

see the attached figure


Find the value of x for that the product P is a minimum

the vertex is the point (23,-529)

that means, for x=23

the product is a minimum P=-529


find the value of y

y=x-46\\ y=23-46\\ y=-23


therefore


the answer is

the numbers are 23 and -23

zmey [24]2 years ago
7 0
Choose any two numbers that when you subtract one from the other, you get 46

For example:
56 and 102, between them there's a difference of 46 units

Another example:
89 and 135
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