Question

A number is exactly the four times the sum of its digits and twice the product
of the digits.Find the numbers​

Answer 1

Answer:

36

Step-by-step explanation:

Let the no. z be 10x + y

10x + y = 4 (x + y)

10x + y = 4x + 4y

6x - 3y = 0

2x - y = 0 eq1

10x + y = 2xy eq2

From eq1 y = 2x put y in eq2

10x + 2x = 2xy

12x = 2xy

y = 12x / 2x = 6

Put value of y in eq1

2x - 6 = 0

x = 6/2 = 3

No. was 10x + y

= 10×3 + 6

= 36

Hope you find it helpful.

Answer 2

Answer:

36

Step-by-step explanation:

Let the number be 10x+y

4(x+y)=10x+y

4x+4y=10x+y

6x-3y=0

2x-y=0  

y=2x-----(i)

2(xy)=10x+y

2xy=10x+2x    (By substituting in (i))

2xy=12x

y=12xy/2x

y=6

y=2x

x=6/2

x=3

10x+y= 10(3)+6=36

Therefore the number is 36