a certain number of two digits is three times the sum of its digits and if 45 be added to it ,it's digits are reversed.find the number

Asked by aakanksh ravi | 5th Feb, 2011, 12:00: AM

Expert Answer:

Dear student,
Let the two digit number be xy=10x+y.
According to the given conditions, we have
10x+y=3(x+y) or 7x-2y=0      ...(1)
Also, 10x+y+45=10y+x
or, x-y+5=0               ...(2)
Solving the equations (1) and (2), we get
y = 7 and x = 2
Thus, the number is 27.
We hope that clarifies your query.

Answered by  | 6th Feb, 2011, 09:53: PM

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