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1] The sum of the digits of a two-digit number is 12. The number obtain by interchanging the digits exeeds the original number by 54. Find the origional number  2] A steamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream be 2km/hr, find the speed of the steamer in still water 3] Two trains start simultaineously from two stations 300km apart and move towards each other. The speed of the train is more than the other by 20km/hr. If the distance between the trains after two hours is 20km, the speeds of the trains.
Asked by anchaltamrakar090 | 24 Aug, 2019, 08:06: PM
let the two digit number be 10x+y
x + y = 12 ...(1)

interchanged digit 10y + x

10y + x - 10 x - y = 54
9y - 9x = 54
y - x = 6...(2)
(1) + (2)
2y = 18
y = 9
x = 3
Original number is 39

Only one question will be answered per query
Answered by Arun | 25 Aug, 2019, 12:26: PM

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