Let the two numbers be ( 74x ) and ( x ) since they are in the ratio 74:1. Their sum is given by the equation ( 74x + x = 220 ), which simplifies to ( 75x = 220 ). Solving for ( x ) gives ( x = \frac{220}{75} = \frac{44}{15} ). Thus, the bigger number is ( 74x = 74 \times \frac{44}{15} = \frac{3256}{15} \approx 217.07 ). However, if integers are sought, the bigger number is ( 74 \times 2 = 148 ) and the smaller number is ( 2 ).
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