Question

the entire state of montana has just one telephone area code. The same is true for Idaho. The sum of their area code is 641 and the difference is 198, and Montana has the numerically larger one. Find the area code of each of these states.

Answer 1

let the area code of Montana=x
let area code of Idaho=y
ATQ
x-y=198,x=198+y (i)
x+y=641
198+y+y=641 (from(i))
2y=641-198
2y=443
y=443/2
y=221.5
therefore x=198+221.5
x=419.5

Answer 2

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