Your answer depends on how the problem was actually written. There are three possibilities:
1. It's written with a ÷ sign instead of a /, but you substituted a / because you don't have a ÷ sign on your keyboard.
In that case, you should evaluate it like you did, getting an answer of 58.
2. It's written as a fraction instead of with a /, where 62 is above the fraction line and 2(3) is below the fraction line.
In that case, you should evaluate it like your friends did, getting an answer of 10.
That's because fractions introduce hidden parentheses. When using PEMDAS, if you're faced with a fraction like 2+3 / 3+7, you should evaluate the expression as though there were parentheses around the top and bottom:
(2+3)/(3+7) = 5/10 = 1/2
3. It's written just as you wrote it, with a /.
I think this is unlikely, since as you can see, it can be a bit ambiguous written that way. However, if it is written like that, you should evaluate it using PEMDAS as normal, treating the / as division and the () as multiplication. Nothing complicated needs to happen in this case. Multiplication and division written like this happen just like normal multiplication and division:
62 ÷ 2 × 3 + 4 = 58
Those methods and answers are the widely-accepted ways of evaluating each of the three expressions, and are almost certainly what your teacher is looking for in each of the three possible cases.
Hope this clarifies things!