a two digit number is four times the sum of its digit and twice the product . find the no. Question a two digit number is four times the sum of its digit and twice the product . find the no. in progress 0 Math Alaia 4 months 2021-09-24T15:35:28+00:00 2021-09-24T15:35:28+00:00 1 Answer 0 views 0

## Answers ( )

Answer:Step-by-step explanation:let the two digit number be 10x + y

according to the given question ,

Ist case

10x +y = 4(x+y)

10x +y = 4x +4y

10x – 4x = 4y – y

6x = 3y

divide by 3 throughout

2x = y

2x – y =0 ….[1]

2nd case

10x +y = 2(x+y)

10x +y = 2x+2y

10x -2x = 2y – y

8x = y

8x – y = 0….[2]

solve 1,2

2x – y = 0 [1]

8x – y = 0 [2]

subtract ;

we get – -6x = 0

x = 0

put x=0 in [1]

2(0) – y = 0

0-y = 0

y = 0

therefore the solution for this solution is x,y (0,0)