Problema Solution
The sum of two numbers is 72. One of the numbers is six more than twice the other. What are the two numbers?
Answer provided by our tutors
Equation 1: A + B = 72
Equation 2: A = B + 6
Plug (B + 6) into equation 1 for A
Equation 1: A + B = 72
(B + 6) + B = 72
Combine like terms
2B + 6 = 72
Subtract 6 from both sides
2B = 66
Divide both sides by 2
B = 33
Plug 33 into equation 1 for B
Equation 1: A + B = 72
A + 33 = 72
Subtract 33 from both sides
A = 39
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