SOLUTION: If the sum of two numbers is 42 and the difference is 12, then what is the product of the numbers ?

Question 340928: If the sum of two numbers is 42 and the difference is 12, then what is the product of the numbers ?
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
If the sum of two numbers is 42 and the difference is 12, then what is the product of the numbers ?

let A = one number, let B = other number
A + B = 42
A - B = 12 --> A = B + 12, substitute into A + B = 42
(B + 12) + B = 42
2B + 12 = 42
2B = 30 (subtract 12 from both sides)
B = 15

A + 15 = 42
A = 27

AB = 27 * 15 = 405

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