Sat February 05, 2011 By: Aakanksh Ravi

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

Expert Reply
Sun February 06, 2011
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.
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