Question

while travelling by train, you must take care of your belongings. change into complex​

Answer 1

Answer:

Let n(a,b) be two digit number.

n(a,b)=10a+b

Given that, n(a,b)+11=a

2

+b

2

10a+b+11=a

2

+b

2

→(1)

n(a,b)=2ab+5

10a+b=2ab+5→(2)

(1)−(2)⇒11=a

2

+b

2

−2ab−5

(a−b)

2

=16

a−b=±4⇒a=b+4(or)a=b−4

a=b+4,

10b+40+b=2b(b+4)+5

2b

2

−3b−35=0

(2b+7)(b−5)=0

∴ b=5,a=9

a=b−4

10b−40+b=2b

2

−8b+5

2b

2

−19b+45=0

(2b−9)(b−5)=0

∴ b=5,a=1

15 and 95 are the required numbers.