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length of the River A exceeds River B by 430 mi
Let x and (x+430mi) represent the lengths of B and A rivers respectively
question states***
x + (x+430mi)= 2790mi
slving for x
2x = 2360mi
x = 1180mi , length of River B, River A is 1610mi (1180mi+430mi)
CHECKING our Answer
1180mi + 1610mi = 2790mi