Question

A TWO DIGIT NUMBER IS FOUR TIMES THE SUM OF ITS DIGITS AND TWICE THE PRODUCT OF THE DIGITS ,FIND THE 2 DIGIT NUMBER

Answer 1

Step-by-step explanation:

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)

HOPE IT HELPS YOU....

Answer 2

Refers to attachment ♡~