To solve the equation ( 49 \times 23 + \frac{3920}{28} = \frac{167400}{27} - 91 \times 62 ), we can calculate each part step by step.

Left Side:

Calculate ( 49 \times 23 ):
[
49 \times 23 = 1127
]

Calculate ( \frac{3920}{28} ):
[
3920 \div 28 = 140
]

Now add the results from step 1 and step 2:
[
1127 + 140 = 1267
]

Right Side:

Calculate ( \frac{167400}{27} ):
[
167400 \div 27 = 6200
]

Calculate ( 91 \times 62 ):
[
91 \times 62 = 5642
]

Now subtract the result from step 2 from the result from step 1:
[
6200 - 5642 = 558
]

Now we have: [
1267 = 558
]

This equation does not hold true. Therefore, ( 49 \times 23 + \frac{3920}{28} \neq \frac{167400}{27} - 91 \times 62 ).