The total $4200 + $600 = $4800 stays the same. At the end Terry has $100 more than Tom, so removing $100 splits the rest into two equal parts.

Tom$2350Terry$2350$100total $4800

Plain numbers are given; italic underlined numbers are worked out.

  1. Total → $4200 + $600 = $4800
  2. 2 equal parts → $4800 − $100 = $4700
  3. 1 part (Tom) → $4700 ÷ 2 = $2350
  4. Terry ends with → $2350 + $100 = $2450
  5. Terry gave → $4200 − $2450 = $1750

He gave Tom $1750.

Check: Tom $600 + $1750 = $2350; Terry $4200 − $1750 = $2450 = $2350 + $100. ✓