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Two numbers that differ by 46

User Mike Delta
by
7.8k points

2 Answers

5 votes
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
User Elmex
by
7.9k points
5 votes

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

Two numbers that differ by 46-example-1
User Jacob Foshee
by
8.7k points