Question

A two digit number is such that the
product of the digits 14. when 45 is
added to a number the the digits
are reversed​

Answer 1

Answer:

Let the tens digit be x. Then, units digit=

x

14

Number =10x+

x

14

and Number formed by reversing the digits =10×

x

14

+x

∴10x+

x

14

+45=10×

x

14

+x

⇒10x+

x

14

+45=

x

140

+x⇒9x−

x

126

+45=0

⇒9x

2

+45x−126=0⇒x

2

−5x−14=0

⇒(x+7)(x−2)=0 ⇒x=−7tox=2

∵ x can not be a negative

⇒x=2

Hence the required number =(10×2)+

2

14

=27

Answer 2

Answer:

let tens digit x and ones digit y