Question

The sum of the digits of a 2 digit number is 7. When the digits are reversed the number is increased by 27. Find the number.

Answer 1

Answer:

The two digit number is

25

Explanation:

Let tens digit and units digit of the number be

x

and

y

;

x

+

y

=

7

;

(

1

)

The two digit number is

10

x

+

y

, when reversed,

the two digit number becomes

10

y

+

x

, by given condition,

10

y

+

x

=

10

x

+

y

+

27

or

9

y

−

9

x

=

27

or

9

(

y

−

x

)

=

27

or

(

y

−

x

)

=

3

or

y

=

x

+

3

Putting

y

=

x

+

3

in equation (1) we get,

x

+

x

+

3

=

7

;

or

2

x

=

4

∴

x

=

2

;

y

=

2

+

3

=

5

Hence the two digit number is

25

[Ans]

MARK AS BRAINLIEST ❤❤