The ratio of tens digit to ones digit of a two-digit number is 2:3. If 27 is added to the
number, the digits interchange their places. Find the number.
The ones dimit
dicit number is twice the tens dicit TF1
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1
Answer:
Let the ones digit and tens digit of the number be a,b respectively.
number =ba
given that,
a
b
=
3
2
→3b=2a→b=
3
2a
-------(1)
it is also given that,
ba+27=ab
(10b+a)+27=10a+b
9a−9b=27
9(a−b)=27
a−b=3
put the value of b from equation 1
a−
3
2a
=3
3a−2a=9
a=9,b=
3
2×9
=6
number =69
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