Question

it two digits number is such then the product of is digits 14.If 45 is added two the number, the digits is interchange then place find the number?​

Answer 1

Let the no be 'xy' with x×y=14

As xy+45=yx(x,y>0)

⇒(10x+y)+45=10y+x

⇒9x−9y+45=0

⇒x−y+5=0&x×y=14

⇒x−

x

14

+5=0

⇒x−

x

14

+5=0

⇒x

2

+5x−14=0

⇒x=2,−7&y=7,−2

Ad x,y>0⇒ no is 27

Answer 2

Answer:

Let the no be 'xy' with x×y=14

As xy+45=yx(x,y>0)

⇒(10x+y)+45=10y+x

⇒9x−9y+45=0

⇒x−y+5=0&x×y=14

⇒x−

x

14

+5=0

⇒x−

x

14

+5=0

⇒x

2

+5x−14=0

⇒x=2,−7&y=7,−2

Ad x,y>0⇒ no is 27

Step-by-step explanation:

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