Question 1142273
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Solving the problem using formal algebra is good practice in formal mathematics.<br>
If an algebraic solution is not required, solving the problem informally can be good mental exercise in problem solving.<br>
(1) subtract 17 from the larger number to make the two numbers the same; the sum of the two numbers is now 137-17 = 120.
(2) half of 120 is 60, so the two numbers are now 60 and 60.
(3) add the 17 back on to the larger number; the numbers are 60 and 60+17=77.