Question

2 digit number seven times the sum of its number and also equal to 3 times the product of its digit , find the number​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

let the number be xy

x in ten's place 

10x+y = 7(x+y)

10x+y = 7x+7y

3x-6y=0

3x=6y

x=2y-------1

10x+y =3xy -12

substitute x=2y

l10x-3xy+y=-12 

10*2y-3*2y*y+y=-12 

20y-6y^2+y=-12

6y^2-21y-12=0 

6y^2-24y+3y-12=0

6y(y-4)+3(y-4)=0

(y-4)(6y+3)=0

y=4 .

x=2y

x=8

the number is 84

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