Answer:

36

Step-by-step explanation:

Let the digit in the units place be

x

and digit in the tens place be

y

.

According to first condition,we have

⇒

x

=

2

y

…

…

(

i

)

[

∵

units digit

=

2

×

tens digit]

∴

the two digit number is

10

y

+

x

.

When the digits are reversed, the reversed number will be

10

x

+

y

When

27

is added, the digits are reversed. [Given]

original number

+

27

=

Reversed number

∴

10

y

+

x

+

27

=

10

x

+

y

⇒

9

x

−

9

y

=

27

⇒

x

−

y

=

3

…

…

(

i

i

)

Putting

x

=

2

y

in equation

(

i

i

)

,

we get

2

y

−

y

=

3

⇒

y

=

3

Putting

y

=

3

in equation

(

i

i

)

,

we get

x

−

3

=

3

⇒

x

=

6

Original number

=

10

y

+

x

=

10

×

3

+

6

=

36

Hence, the number is

36.

Verified answer

Step-by-step explanation:

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