Question

A two digit number is 4 times the sum of its digit and twice the product of the digit . find the number

Answer 1

Let the two digit no be 10x +y
A. To. Q
10x+y=4(x+y)
10x+y=4x+4y
6x-3y=0
2x-y=0---------------(1)
10x+y =2xy
From eq(1) y=2x
So 10x+2x=2x(2x)
12x=4x²
4x²-12x=0
4x(x-3)=0
x=0 and x=3
y=0 and y=6
So no is 36

Answer 2

Answer:

Let the two digit no be 10x +y

A. To. Q

10x+y=4(x+y)

10x+y=4x+4y

6x-3y=0

2x-y=0---------------(1)

10x+y =2xy

From eq(1) y=2x

So 10x+2x=2x(2x)

12x=4x²

4x²-12x=0

4x(x-3)=0

x=0 and x=3

y=0 and y=6

So no is 36

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