SOLUTION: II- Translating verbal sentences into mathematical expression 1. The sum of two integers is 76 and their difference is 2. What are the integers?

Question 1184725: II- Translating verbal sentences into mathematical expression
1. The sum of two integers is 76 and their difference is 2. What are the integers?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The sentence is not ambiguous, and is precise. Just follow exactly what is written.
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
.

Let x and y be the numbers, x is the greater, y is the smaller. Then the seeking translation is x + y = 76 x - y = 2. To solve this system of equations, add them. You will get 2x = 76 + 2 = 78, x = 78/2 = 39. So, the greater number is 39. Then you easily can find the smaller number: it is 2 units less, i.e. y = 39-2 = 37. ANSWER. The numbers are 39 and 37.

Solved and thoroughly explained.

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