Question

a number say a is exactly the four the times the sum of its digits and twice the product of the digits.find the numbers​

Answer 1

✨Heya dear!✨

two digits, x & y

10x + y = the number

:

A two digit number is 4 times the sum of its digits

10x + y = 4(x+y)

10x + y = 4x + 4y

10x - 4x = 4y - y

6x = 3y

divide both sides by 3

2x = y

" and twice the product of its digit."

10x + y = 2xy

Replace y with 2x

10x + 2x = 2*x*2x

12x = 4x^2

Divide both sides by 4x

3 = x

then

y = 2(3)

y = 6

:

the number = 36

:

You can confirm this in both statement:

36 = 4(3+6)

and

36 = 2(3*6)