Question 260361: The word problem is: "The sum of two numbers is ten. The product of the two numbers is twenty-one. Find the numbers."
We are required to write a let statement:
Let n=the first number
and then i do not know the second.... something = the second number
And after i get the problem set up i know i need to set it equal to zero, factor, set equal to zero and solve. I am just confused on the second part of the let statement and then setting up the initial problem.
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! Since you tell us you just need the set up, here we go . . .
Let A be the first number and B = second number
(i) A + B = 10
(ii) A*B = 21
Solve (i) for A to get
(iii) A = 10-B
by substituting (iii) into (ii) , we get
(iv) (10-B)(B) = 21
distributing we get
(v) -B^2 + 10B = 21
from here set = 0 factor and solve to find B. Once you have B substitute to get A.
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